Question

Value of the roots of the quadratic equation x^2-x-6=0
Are

Answer 1

Step-by-step explanation:

full explanation

Answer 2

Given:

A quadratic equation x² - x - 6 = 0.

To Find:

The roots of the given equation are?

Solution:

The given problem can be solved using the factorization method.

1. The given equation is x² - x - 6 = 0.

2. Factorize the equation,

=> x² - x - 6 = 0,

=> x² - x - 6 = 0,

=> x² - 3x + 2x - 6 = 0,

=> x( x - 3) + 2( x - 3 ) = 0,

=> ( x - 3 )( x + 2 ) = 0,

=> x = +3 (OR) x =  -2.

3. Roots of the equation are +3 and -2.

Therefore, the roots of the equation x² - x - 6 = 0 is +3 and -2.