without-solving-each-equation-find-the-sum-and-product-of-the-roots-5-x22-x-100

Question

Without solving each equation, find the sum and product of the roots.
$5 x^{2}+2 x-10=0$

Joseph Franks · Accepted Answer

he said. Today we&#x27;re solving for the someone product of the roots without actually solving the equation. So let&#x27;s just get right to We have five x Square plus two x minus 10. The equal zero. All right, so we begin. We know that are some is just taking the coefficients in the ratio of minus B over a. And the product is taking the coefficients in the ratio of just seeded by day. They&#x27;re just identifying coefficients, and we&#x27;d be finished. We have that. My B would be too. So we have a minus two in the numerator and a is just five. And then for a product we have, that sea is going to be a minus 10 on again. There&#x27;s still five, so just simple. Fine. We have minus 2/5 and we have the minus two

Joseph Franks · Answer

right. So today we&#x27;re asked to solve the summoned product of the roots without actually solving the equation on our equation is going to be X squared. But for X Plus five equal zero. So two things we need are the sum and product formula. So there&#x27;s some formula is just minus B over a, and the product formula is just see over a. It&#x27;s also we have to do here is identify the coefficients. So then we know that one is going to be a because that&#x27;s the quote fishing in front of X squared and the cowfish. The coefficient for me is going to be four. So we have minus four over one, which would just be a minus four. And the product we know that the coefficient for C is going to be fine. We already identified that A is one. So fight over one

Xiaomeng Zhang · Answer

So for this one, we have our constant or my nose. 10. And we have our leading coefficient equals one here. So the new numerator Ugly Ross factor off from Aniston. Process minus one. Blast my nose to bluff. Friend knows, Sire. One last man, this tune. And for the denominator, we only have a lot of matter to one. And bovie twi. Oh, those possible choice off. Except is my ransom. Rent one and Glass and Reynolds. True. Clough minus Fry Class and Rennes. Ken. So we try one here. That will be to us. One manners too. Russ Simon of 10. Gotta Nico to your role. So one is not our answer. How so? For minus one. Here were how, minus one menace to menace five minus Can that it&#x27;s over in that back through. Remember that. Then he goes to zero. And for to hear, Hear how eight manners eight. Blast in my nose. Can he coast zero So ex seacoast to through its our regional rules here and then you use Ah, Since I picked the region, we can see for our equation. We have the coefficient topped the leading term act to the power of three one and minor to gloves, Fi here l b minus 10. And because actually coast truly recover to here and then from there is 111 times two and the road you&#x27;re comes true. 055 times, two gratis 10. And we have zero here. So we all know for our term. Via how ex Squire Class five Yuko suits zero. And that will be us ex choir Yukos humanness. Crime So acts just equals Who? Graessle madness, Squire Rules of five kinds I

Zach Steedman · Answer

very first problem where everything is over three. But it doesn&#x27;t have to be if you multiply the entire equation by three. See this 3/3 being a one. So this quadratic equation that three goes away can be written as three X squared plus three X plus five. Yes, it&#x27;s still equal to zero because three times zero is zero. And so I just immediately got rid of that fraction cause I didn&#x27;t want to deal with it. And we are allowed to do that. And so are a values three R B values three and R C values five. We&#x27;re gonna plug leads in knowing that are some is equal to negative. Be over a That&#x27;s gonna be a negative three is or be value in three Azari value negative. 3/3 is the same as negative one. All right, our products is gonna be equal to see over a. We know our C is five are a is three and there&#x27;s nothing that can be reduced there. Let me highlight in green that our product is equal to 5/3 and are some is equal to negative one

Teresa Liang · Answer

So when you look at the equation, X squared plus five x minus 10 equals zero and we&#x27;re solve used in the quarter for, uh, roger. That&#x27;s X equals minus B plus or minus the square root of B squared minus four a. C all over two. A. So a school official of expert, which is one B school fish of X, which is five and C is the constant negative. 10. Let&#x27;s go ahead. The answer to that into the form of X equals minus five plus or minus the square root of five squared minus four times one times negative. 10 all over two times. One. Let&#x27;s go ahead and some advice. We&#x27;ve actually closed minus five, plus or minus square root and then five. Inter Governor five squared as four times one times, native 10 and we got 65. And that&#x27;s all over, too, and we cannot simplify any further. So that is our final answer

Ankit Gupta · Answer

According to the question, We have to solve the quadratic intuition. X X squared plus five x minus 10 equals zero is in the quantity compliment. Now we know that if you compare this with the standard come up recorder in creation, that is excess purpose. Be explosive. He then able, because one vivant People&#x27;s five on DSI, will be called months offense, so our solution can bridge. And as X equals minds off, the that&#x27;s minds are spared obese. Where my sport sc upon the way now, since we have the bells off a B and C so we can simply secluded in the given from land after an hour. Answer. So minds of these minus five that&#x27;s minus of spirit of the square that is 25 minus four multiplied very one multiplied by minus off plane. So mind four multiplied by one multiplied by minus obtain. Is this party on in denominator? We have no way. That&#x27;s too much pride. Very one two X equals minds off five plus minds off What people is 25 is 65 spirit off 65 upon you Now, since you can&#x27;t Brexit survive in tow, trying factors which can be further broken down. So our record answered with the X equals minus 5.2. Yes. Barreled off 60. Spirit off 65 upon do. Hi minus five upon to minds of five. According to mind solved spirit of 65. Upon to now sees, we can writes for Rudolph 65 s uh, hi. Uh, 53 So we scanned corner prison fried as minds of 5.2 plus five. Paragraph 3.2 and minus five according to minus all five of 3.2. So this will be our required final answer. So sorry, guys. I think I made a small mistake. We can&#x27;t break 60 per quarter, so our required answer will be this on. So this is our required handsome.

Problem

Without solving each equation, find the sum and p…

Problem 6 Easy Difficulty

Without solving each equation, find the sum and product of the roots.
$5 x^{2}+2 x-10=0$

Answer

$\operatorname{sum}=-\frac{2}{5}$
product $=-2$

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Catherine R.

Heather Z.

Caleb E.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

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$\operatorname{sum}=-\frac{2}{5}$product $=-2$

Algebra 2 and Trigonometry

Catherine R.

Heather Z.

Caleb E.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Catherine R.

Heather Z.

Caleb E.

Michael J.

$\operatorname{sum}=-\frac{2}{5}$
product $=-2$

Ann Xavier Gantert

Algebra 2 and Trigonometry