algebra question

Question

The first leg of a right triangle is 3 cm longer than its second leg. If the hypotenuse has a length of 9 cm, find the exact lengths of the two legs.

First leg=

Second leg=

Answer 1

(x + 3)² + x² = 81;

2x² + 6x - 72 = 0;

x² + 3x - 36 = 0;

x = ( - 3 + √153)/2;

x + 3 = (3 + √153)/2