Questions: Solve (x+5)^2-90=0, where x is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Solution Steps

Add 90 to both sides of the equation: $(x+5)^2 = 90$

$\sqrt{(x+5)^2} = \pm\sqrt{90}$ $x+5 = \pm\sqrt{90}$ $x+5 = \pm3\sqrt{10}$

Subtract 5 from both sides: $x = -5 \pm 3\sqrt{10}$ $x \approx -5 \pm 3(3.16227766)$ $x \approx -5 \pm 9.48683298$

So, the two solutions are: $x \approx -5 + 9.48683298 = 4.49$ $x \approx -5 - 9.48683298 = -14.49$

Final Answer