Question

Question 5 of 10

Answer 1

Answer:

D. Take the square root of both sides

Step-by-step explanation:

Given quadratic equation:

$(ax+b)^2=c$

To solve, square root both sides:

$\implies \sqrt{(ax+b)^2}=\sqrt{c}$

$\textsf{Apply radical rule} \quad \sqrt{n^2}=n, \quad \textsf{assuming }n \geq 0:$

$\implies ax+b=\pm\sqrt{c}$

Subtract b from both sides:

$\implies ax=-b\pm\sqrt{c}$

Divide both sides by a:

$\implies x=\dfrac{-b\pm\sqrt{c}}{a}, \quad a\neq 0$

Answer 2

Answer:

D

Step-by-step explanation:

(ax + b)² = c

step 1 : take square root of both sides

ax + b = ± $\sqrt{c}$

step 2 : subtract b from both sides

ax = - b ± $\sqrt{c}$

step 3 : divide both sides by a

x = - $\frac{b}{a}$ ± $\frac{\sqrt{c} }{a}$