Question

Solve by completing square method:
4psquare+7=12p

Answer 1

$4 {p}^{2} + 7 = 12p \\ = > 4 {p}^{2} - 12p + 7 = 0 \\ = > 4( {p}^{2} - 3p + \frac{9}{4} ) = 2 \\ = > {(p - \frac{3}{2} })^{2} = \frac{1}{2} \\ = > p - \frac{3}{2} = | \frac{1}{ \sqrt[2]{2} } | \\ = > p = \frac{3}{2} + \frac{ \sqrt{2} }{2} \\ = > p = \frac{3}{2} - \frac{ \sqrt{2} }{2} \\ = > p = \frac{3 + \sqrt{2} }{2} \\ = > p = \frac{3 - \sqrt{2} }{2}$
Hope it helps