Question

find value of x
simplify it
(x-5)^2=29

Answer 1

Answer:

(x−5)2=29

Step 1: Simplify both sides of the equation.

x2−10x+25=29

Step 2: Subtract 29 from both sides.

x2−10x+25−29=29−29

x2−10x−4=0

For this equation: a=1, b=-10, c=-4

1x2+−10x+−4=0

Step 3: Use quadratic formula with a=1, b=-10, c=-4.

x=

−b±√b2−4ac

2a

x=

−(−10)±√(−10)2−4(1)(−4)

2(1)

x=

10±√116

2

x=5+√29 or x=5−√29

Answer:

x=5+√29 or x=5−√29