Math, asked by gopalprajapatrtm38, 15 hours ago

5 The roots of the equation x² + x - 12=0 are ​

Answers

Answered by amansharma264
5

EXPLANATION.

Roots of the equation.

⇒ x² + x - 12 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ x² + 4x - 3x - 12 = 0.

⇒ x(x + 4) - 3(x + 4) = 0.

⇒ (x - 3)(x + 4) = 0.

⇒ x = 3   and   x = - 4.

                                                                                                                   

MORE INFORMATION.

Conjugate roots.

Discriminant = Denoted as ''D''.

Formula of Discriminant :

⇒ D = 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.

Answered by jaswasri2006
3

⇒ x² + x - 12 = 0

⇒ x² + 4x - 3x - 12 = 0

⇒ x(x+4) - 3(x+4) = 0

⇒ (x+4)(x-3) = 0

x = 3 , -4

Roots are : 3 , -4

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