Question

$x {}^{2} - 17x + 18x - 306 \: = 0$
by factorization method​

Answer 1

EXPLANATION.

Factorizes : x² - 17x + 18x - 306 = 0.

As we know that,

We can write equation as,

⇒ x² + x - 306 = 0.

Factorizes the equation into middle term splits, we get.

⇒ x² + 18x - 17x - 306 = 0.

⇒ x(x + 18) - 17(x + 18) = 0.

⇒ (x - 17)(x + 18) = 0.

⇒ x = 17  and  x = - 18.

                                                                                                                  MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) Roots are real and unequal, if b² - 4ac > 0.

(2) Roots are rational and different, if b² - 4ac is a perfect square.

(3) Roots are real and equal, if b² - 4ac = 0.

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

Answer 2

To Factorize :- x² - 17x + 18x - 306 = 0

Solution :-

↬ x² - 17x + 18x - 306 = 0

↬ x(x - 17) + 18(x - 17) = 0

↬ (x - 17)(x + 18) = 0

↬ x = 17 & x = -18