Question

Find the nature of the roots of the following quadratic equations: x² – 12x – 12 = 0​

Answer 1

Answer:

Given: quadratic equation x2+bx−12=0, 2 is one of the root.

To find the other root.

Sol: As 2 is one of the root, then it should satisfy the following condition

(2)2+b(2)−12=0⟹4+2b−12=0⟹2b=8

or b=4

Hence the equation is x2+4x−12=0

⟹x2+6x−2x−12=0⟹x(x+6)−2(x+6)=0⟹(x+)(x−2)=0⟹x=−6,x=2

Hence the other root is −6

Answer 2

Answer:

It will be real and unequal root....