Question

(2x²-24)
Solve for x

Answer 1

4

Explanation:

By the inscribed angle theorem,

`2x^2-24=2x \\ \\ x^2-12=x \\ \\ x^2-x-12=0 \\ \\ (x-4)(x+3)=0 \\ \\ x=-3, 4 \\ \\ x>0 \implies x=4`