Answer:
D
Step-by-step explanation:
(ax + b)² = c
step 1 : take square root of both sides
ax + b = ± [tex]\sqrt{c}[/tex]
step 2 : subtract b from both sides
ax = - b ± [tex]\sqrt{c}[/tex]
step 3 : divide both sides by a
x = - [tex]\frac{b}{a}[/tex] ± [tex]\frac{\sqrt{c} }{a}[/tex]
Answer:
D. Take the square root of both sides
Step-by-step explanation:
Given quadratic equation:
[tex](ax+b)^2=c[/tex]
To solve, square root both sides:
[tex]\implies \sqrt{(ax+b)^2}=\sqrt{c}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{n^2}=n, \quad \textsf{assuming }n \geq 0:[/tex]
[tex]\implies ax+b=\pm\sqrt{c}[/tex]
Subtract b from both sides:
[tex]\implies ax=-b\pm\sqrt{c}[/tex]
Divide both sides by a:
[tex]\implies x=\dfrac{-b\pm\sqrt{c}}{a}, \quad a\neq 0[/tex]
