Answer:
x=−15+√10 or x=−15−√10
Explanation:
Let's solve your equation step-by-step.
(x+15)2−10=0
Step 1: Simplify both sides of the equation.
x2+30x+215=0
For this equation: a=1, b=30, c=215
1x2+30x+215=0
Step 2: Use quadratic formula with a=1, b=30, c=215.
x=−b±√b2−4ac/2a
x=−(30)±√(30)2−4(1)(215)/2(1)
x=−30±√40/2
x=−15+√10 or x=−15−√10