Question

Solve the equation by extracting square roots.
(4x + 7)2 = 52 Solve the equation by extracting square roots.
(4x + 7)2 = 52 @Mathematics

Answer 1

is it (4x+7)^2 or 2*(4x+7)?

Answer 2

(4x + 7)^2 = 52

Answer 3

16x^2+56x+49=52

16x^2+56x-3=0

use the formula to get x

Answer 4

\[\Large (4x + 7)^2 = 52\]


\[\Large 4x + 7 = \pm\sqrt{52}\]


\[\Large 4x + 7 = \pm2\sqrt{13}\]


\[\Large 4x = -7\pm2\sqrt{13}\]


\[\Large x = \frac{-7\pm2\sqrt{13}}{4}\]



So the solutions are \[\Large x = \frac{-7+2\sqrt{13}}{4} \ \text{or} \ x = \frac{-7-2\sqrt{13}}{4} \]