Solve for x 972x2 491x132 Can someone show me step by step

Solve for x

9.72/x^2 = 4.91/(x-13)^2

Can someone show me step by step (every step) in how to solve this problem. I\'m stuck after i squre the sides

Solution

9.72/x^2 = 4.91/(x-13)^2

Multiply both sides by (x -13)^2

9.72(x -13)^2/x^2 = 4.91

divide both sides by 9.72:

(x -13)^2/x^2 = 4.91/9.72 = 0.505

take square root on both sides:

(x -13)/x = +/- 0.7107

x -13 = 0.7107x

x = 44.98

x -13 = -0.7107x

x = 7.60