Question

Simple math! What is the issue with my work? I got it wrong.

Answer 1

x = 6

Explanation:

In the third line of the solution on right side of the equal sign, middle term should be 8x instead of 4x.

The final value of x will be 6.

`PQ^2 + QO^2 = PO^2 \\</p><p>x^2 + 8^2 = (4+x)^2 \\</p><p>x^2 + 64 = 16 + 8x + x^2 \\</p><p> 64 = 16 + 8x \\</p><p> 64 - 16 = 8x \\</p><p>48 = 8x \\</p><p>6 = x\\`