Answer:
Explanation:
First, we multiply both sides by 4/3 to get
[tex]\frac{4}{3}\cdot\frac{3}{4}(x+1)^2=10\cdot\frac{4}{3}[/tex][tex](x+1)^2=\frac{40}{3}[/tex]Taking the square root of both sides gives
[tex]\sqrt[]{(x+1)^2}=\sqrt[]{\frac{40}{3}}[/tex][tex]x+1=\sqrt[]{\frac{40}{3}}[/tex]Finally, subtracting 1 from both sides gives
[tex]\boxed{x=\sqrt[]{\frac{40}{3}}-1}[/tex]which is our answer!
