Question

how do you solve quadratic using square roots?ex: 3/4(x+1)²=10

Answer 1

Answer:

Explanation:

First, we multiply both sides by 4/3 to get

$\frac{4}{3}\cdot\frac{3}{4}(x+1)^2=10\cdot\frac{4}{3}$$(x+1)^2=\frac{40}{3}$

Taking the square root of both sides gives

$\sqrt[]{(x+1)^2}=\sqrt[]{\frac{40}{3}}$$x+1=\sqrt[]{\frac{40}{3}}$

Finally, subtracting 1 from both sides gives

$\boxed{x=\sqrt[]{\frac{40}{3}}-1}$

which is our answer!