a-what-is-the-discriminant-of-the-equation-x2sqrt5-x-10-b-find-the-roots-of-the-equation-x2sqrt5-x-1

Question

a. What is the discriminant of the equation $x^{2}+(\sqrt{5}) x-1=0 ?$
b. Find the roots of the equation $x^{2}+(\sqrt{5}) x-1=0$
c. Do the rules for the relationship between the discriminant and the roots of the equation given in this chapter apply to this equation? Explain why or why not.

Sanchit Gogia · Accepted Answer

the disc. A minute of the situation would be be square minus for a see Now here, Route five can be be see is minus one and a here is co option of extra, which is one. So that would be mood five. Hold square minus for run minus one ritual equal to five plus four, which in turn, would be nine, which is a perfect square. So this tells us that the roots of this equation right here should be the shipping unequal, and they should be rational. How to find the roots of this equation for solid smoke. A new board by the equation again Expert plus move five X minus one. So zero, you know, the very form love The regulations are minus B plus minus de which discriminate upon to a So let&#x27;s put the volleys in this we get minus food five plus minus and what? Nine. Pawn to one, which is equal to minus five. Route five plus three by two O. R. Minus 15 minus 20 by two. So these are the roots of the equation. Um, but all of them, both them are unequal. That&#x27;s true, but they&#x27;re irrational. So the relation. There&#x27;s going to us on the discriminate and rational, rational roads has been wrong here. That is because one of the questions here that is B is a very irrational self, so that doesn&#x27;t apply. So the relation has been war and doesn&#x27;t exist.

Ankit Gupta · Answer

we have decoration. Five p scare minus 20 even is equal to zero. We can delight it as five p skill plus zero multiplied B minus 21 is equal to zero, which is off the standard form X squared plus BX plus C is equal to zero. Now, by comparing the given question the distended equation, we have the value of phase equal to five. The value of B is equal to zero on the valley, off C is equal to minus 21. Now we need to find the disk imminent for the given quadratic equation. And we know the form love for the disk imminent, which is equal to be scared minus for a C. Now, by putting the value of A, B and C, we have zero rise to power to minus four multiplayer with five multiplied with minus 21. So we have Zito plus 4 20 which is equal to 4 20 Now we have to skim. It is equal to four. 20 which is positive. So we have two solutions for this quadratic equation. But 4 20 is not perfect skin. So the given quadratic equation has do irrational solutions. That is over. Answer

Rakesh Kumar Sharma · Answer

Miss Fashion Gamble. Articulation. Excess. Where by most experts, one of the entity. So, the first part of a question we have to get this to discover that was indiscriminately. Really? Actually, these my minus four. This is a view minus one squared minus four. Do me. That is one and do OK with the signified review T minus four so that sleeping rainiest bees is due there. This way. No ria, it&#x27;s and seven part of the questions and see me, I do find use or booze. So I guess the U F expediently minus the status one that&#x27;s minus one Don&#x27;t you are by industry before, right before this in your face. So we get a little says one My treat. I think these are tools, but you are depression, which you can be an easy example Injury happens. Forget to this is that you show and answer this question

Ankit Gupta · Answer

we have the creation to n minus five and weighs two. Power two is equal to zero. No, by taking common minus one, decoration reduces to five and scared minus two. When is equal toe zero, which is off the standard Form A and Scare plus B and policy is equal to zero. Now, by comparing it with the standard form, we have the value off A is equal to five, the value of B is equal to minus two and the value of C is equal to zero. Now we need to find our disk imminent for this quadratic equation. And we know the formula for disc imminent is equal to be scared, minus for a C. Now, by putting the value off A B and C indiscriminant, we have minus to raise to power to minus four multiplayer with five multiplied with zero, which is equal to four. So discriminate is equal to a full now since the disc imminent is equal toe full, which is positive, and four is a perfect skill. So we have do national solutions for the given quadratic equation. This is a work council

Catt Huth · Answer

being asked to use the discriminative to determine the number and types of solutions we need are discriminative. Just that piece underneath the radical B squared minus four a. C. Then we&#x27;re gonna go to our equation and we&#x27;re gonna find our Air B and R C. Sir, A is equal to five. B is equal toe one Nancy is equal to two. And now we&#x27;re ready to substitute. I got one squared, which is just gonna be once. I&#x27;m just gonna go ahead, move that down to my next lying somebody needed again is for So that&#x27;s five times two. So that&#x27;s still going to be a minus. Sign there, and that gives me 40. And once I got here really didn&#x27;t need to do this math because I knew this was gonna be bigger than one. And therefore, my discriminative was gonna be negative or less than zero. And that tells me I&#x27;m going to have to complex congregates

Ankit Gupta · Answer

According to the question we have given equation is X square plus to wax is equal to minus one. First off, all very are in this equation. We have X square plus two x plus. One is equal to zero. We comparison this equation with a X squared plus B x plus C is equal to zero. When the comparison both equation we have the value of a comes out there is one. The value of becomes out there is to the value of sea is one we know that in this Kocian is that we want to discriminate the this cream me Nate value is be square minus for a C. When you sub tickled all the values in the formula, we have so square minus four into one into one when we sold there is four minus four The value of discriminate comes out Vero then discriminate Be square minus four A. C is equal to zero. It means only fun. Real value comes out real value, no imaginary value. In that case, we find out

Problem

Christina said that when $a, b,$ and $c$ are rati…

Problem 1 Medium Difficulty

a. What is the discriminant of the equation $x^{2}+(\sqrt{5}) x-1=0 ?$
b. Find the roots of the equation $x^{2}+(\sqrt{5}) x-1=0$
c. Do the rules for the relationship between the discriminant and the roots of the equation given in this chapter apply to this equation? Explain why or why not.

Answer

No

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