Question

The roots of the quadratic equation x²+7x+12=0 are α&β,find the quadratic equation whose roots are 1/α&1/β. ​

Answer 1

Answer:

Hey...

First of all wr have to find the roots of the given eqn i. E x

$x ^{2} + 7x + 12 = 0$

So

Here

a = 1. b = 7 c= 12

B^2 - 4ac

(7^2) - 4(1)(12)

49 - 48

1

So D = 1

By quadratic formula

$- b + - \sqrt{d} \div 2a$

Putting Values and solving

-7 +- (1)/2

-7+1/2 = - 3

-7-1/2 = -4

So

Alpha is equ to -3

Beta is equal to -4

1/ alpha will be equal to -1/3

1/ beta will be equal to -1/4

We have to find quad eqn which has roots like up.

X^2 - (sum of roots)x + ( product of roots)

X^2 + 7/12x + 1/12 = 0

12x^2 + 7x + 1. = 0

Hence You satisfy with the answer..

Answer 2

The correct answer is 0