Question

roots of the quadratic equation x square-x-6 =0

Answer 1

Step-by-step explanation:

Correct option is A)

⇒ x

2

−x−6=0

⇒ x

2

−3x+2x−6=0

⇒ x(x−3)+2(x−3)=0

⇒ (x−3)(x+2)=0

⇒ x−3=0 and x+2=0

∴ x=3 and x=−2

Answer 2

EXPLANATION.

Roots of the quadratic equation.

⇒ x² - x - 6 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ x² - 3x + 2x - 6 = 0.

⇒ x(x - 3) + 2(x - 3) = 0.

⇒ (x + 2)(x - 3) = 0.

⇒ x = - 2   and   x = 3.

                                                                                                                 

MORE INFORMATION.

D = Discriminant Or b² - 4ac.

(1) If D < 0.

One roots : α + iβ.

Other roots :α - iβ.

(2) If D > 0.

One roots : α + √β.

Other roots : α - √β.