Question

Solve the following Equation using factorization method: x2 – 12x + 36 = 0​

Answer 1

EXPLANATION.

Equation.

⇒ x² - 12x + 36 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ x² - 6x - 6x + 36 = 0.

⇒ x(x - 6) - 6(x - 6) = 0.

⇒ (x - 6)(x - 6) = 0.

⇒ (x - 6)² = 0.

⇒ x = 6.

                                                                                                                   

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) = Real and unequal, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.

Answer 2

★Answer :-

$x = 6$

★Step by step explanation :-

Let's factorize it by our middle term splitting method.

${x}^{2} - 6x - 6x + 36 = 0 \\ x(x - 6) - 6(x - 6) = 0 \\ (x - 6)(x - 6) = 0 \\ ( {x - 6)}^{2} = 0 \\ x = 6$

Be Brainly~