Question

5h2 – 5h - 15 = 0
Solve by completing the square.

Answer 1

`5 {h}^(2) - 5h - 15 = 0 \\ 5 {h}^(2) - 5h = 15 \\ \frac{5 {h}^(2) - 5h}{5} = (15)/(5) \\ {h}^(2) - h = 3 \\ {h}^(2) - h + (1)/(4) = 3 + (1)/(4) \\ {(h - (1)/(2)) }^(2) = (13)/(4) \\ h - (1)/(2) =±(√(13))/(2) \\ h = ±(√(13))/(2) + (1)/(2)`