Question

Solve (x - 5)² = 3.

O A. x = 8 and x = −2
OB. x=5± √3
OC. x = 3+√5
O D. x=-5±√√3³

Answer 1

B. x=5±√3

Explanation:

Let's solve your equation step-by-step.

(x−5)²=3

Step 1: Simplify both sides of the equation.

x²−10x+25=3

Step 2: Subtract 3 from both sides.

x²−10x+25−3=3−3

x²−10x+22=0

For this equation: a=1, b=-10, c=22

1x²+−10x+22=0

Step 3: Use quadratic formula with a=1, b=-10, c=22.

x=−b±√b²−4ac/2a

x=−(−10)±√(−10)²−4(1)(22)/2(1)

x=10±√12/2

x=5+√3 or x=5−√3