without-solving-each-equation-find-the-sum-and-product-of-the-roots-2-x2-85-x

Question

Without solving each equation, find the sum and product of the roots.
$2 x^{2}-8=5 x$

Zach Steedman · Accepted Answer

all right. We got a first changes to be in the form that we want. And so let&#x27;s get rid. I think I have the highlighter up and I wanted the looks better. Let&#x27;s get rid of the five X on the right side by subtracting five x from both sides of the equation. And so we have a two X squared minus five X minus eight equal to zero. Sorry about that. Anyway, we can see her, A, B and C values here. And so we need to find are some which is negative, be over a and so be is negative five. So a negative negative fot I&#x27;ve is a positive five are a values to meaning Our son is 5/2 r c value here is a negative eight and as I said earlier, a values to in negative eight divided by two is negative for start product is negative for and our son is 5/2

Zach Steedman · Answer

we first gotta make this look the way we want to and I can see that X squared. I want to get rid of it on this side by subtracting X squared from both sides of the equation. Meaning are a quadratic equation will be negative. X squared plus eight X plus 12 equal to zero. And I&#x27;m gonna do one more thing and multiply everything by negative one because I don&#x27;t want a negative x word. I want a positive X squared. It&#x27;s a negative. One times a positive eight is in negative eight x and negative. One times 12 is a negative 12. So this is the quadratic equation I&#x27;m gonna be using and I&#x27;m gonna take a negative B Well, RB values negative. Eight. So negative. Negative. Eight. It&#x27;s like a positive and put it over A in our values one. So our son is eight. See over a we&#x27;ll see is equal to negative 12 A. Again is equal to one. It&#x27;s a negative. 12 or one is negative. 12. Our product is negative. 12 are some is positive eight

Zach Steedman · Answer

very first thing we need to make this look the way we want. And so that negative six X is gonna We&#x27;re gonna get rid of it by adding six x to both sides of the equation. Leaving us on this left side with eight X squared plus six x minus nine equals zero, I should say, And so we see are a value is eight R b value a six in our see value is negative. Nine. So are some, of course, is equal to negative. Be over a. So we&#x27;re gonna put this as a negative six as RB value over A, which is eight. If we divide both of those by two that some is negative. Three fourths similar here. The product is gonna be equal to see over a R C. Value is negative nine and are a value is eight. And so this can&#x27;t be reduced. And so Ah, highlight and green, our product is negative. Nine eights in our son is a negative 3/4

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

Teresa Liang · Answer

so let&#x27;s look at the equation. Five X squared plus eight X equals negative. Three Ruins All this using quadratic form. Reminder that sex equals minus B plus or minus the square root of B squared minus four a. C all over two. A. We&#x27;re not quite ready usable product form because it says equals negative. Three. So we need to add three to both sides. So we&#x27;ve got five x squared plus eight x plus three equals there. Now he&#x27;s quiet for so A&#x27;s cowfish of expert, which is five musical fish of X, which is eight and C is the constant, which is three. Let&#x27;s go ahead and put that into the buttock or not so X equals. I say he took plus or minus the square root of eight square my ass four times, five times three all over two times five. So we will intensify this. We get minus eight to plus or minus the square root. So but the entire disagreement into our computer eight squared minus four times five times three and we would get for on that&#x27;s all over Looks like two times five, which is 10. You will keep civil fine since we know the square before, so minus eight plus or minus two squared for us, too. And it&#x27;s all over 10. And now we should be able to separate into two separate answers. So X equals negative eight plus 2/10 which is negative. 6/10. In those terms, that&#x27;s negative. 3/5. Another solution V X equals negative eight minus 2/10 which is native 10/10 which gives us negative one as our second solution.

Ankit Gupta · Answer

According to the question, We have to solve the coordinated aggression by Decree Square plus eight X equals minds off three. Having the quadratic formula I first. What we have to do is we have to shift minds of street to the left hand side go that it become plus tree. The five x x squared plus eight x plus three equals zero. If you compared the secretion with the standard form of the Connecticut question that&#x27;s expected to be explosive, C, then we will have a equals five. The was eight on C equals C. Now we know that the solutions off the quality creation can be often from the scrambler minds off B plus minus also doubly square minus. Score a c upon weight so we will have X equals mind. Soviets minds off eight plus minus off squared off the square that is age 12 64 Minds off four multiplied way multiplied but see the minds a formal blood ways. My soft 20 on minus of 20 multiplied by three is mine. So 60 so 64 minus 60 upon the way that is five multiplied by two with Spain. The X equals minds off ate less less minus off. Paradoxical minus 60 square the full with nothing but And in the eliminator we have pain. So X equals minus off. Eight minus off who upon 10 that is minus off. 10. Appointing with equals minds off one. And when minds are paid close to appointing that is minus off. Six. Appointing Or rather, you can say minds off 3.5. So there&#x27;s we have a different solution, and this would be a really quick final answer.

Problem

Without solving each equation, find the sum and p…

Problem 11 Easy Difficulty

Without solving each equation, find the sum and product of the roots.
$2 x^{2}-8=5 x$

Answer

$\operatorname{sum}=\frac{5}{2}$
product $=-4$

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Catherine R.

Anna Marie V.

Heather Z.

Maria G.

Absolute Value - Example 1

Absolute Value - Example 2

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$\operatorname{sum}=\frac{5}{2}$product $=-4$

Algebra 2 and Trigonometry

Catherine R.

Anna Marie V.

Heather Z.

Maria G.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Catherine R.

Anna Marie V.

Heather Z.

Maria G.

$\operatorname{sum}=\frac{5}{2}$
product $=-4$

Ann Xavier Gantert

Algebra 2 and Trigonometry