Question

factorization
$\sqrt{x + 15} = (x + 3)$
​

Answer 1

Answer:

x = 1 or - 6

Step-by-step explanation:

$\sqrt{x + 15} = (x + 3)$

Squaring on both sides,

x + 15 = (x + 3)²

x + 15 = x² + 6x + 9

x² + 6x - x + 9 - 15 = 0

x² + 5x - 6 = 0

x² - x + 6x - 6 = 0

x(x - 1) + 6(x - 1) = 0

(x - 1)(x + 6) = 0

$\large{\bold{\mathsf{\boxed{\green{x = 1\:or\:x = - 6}}}}}$