Question

Find the zeroes of the polynomial 4x?+5root2x-3

Answer 1

${4x}^{2} + 5 \sqrt{2} x - 3 \\ \\ 4 {x}^{2} + 6 \sqrt{2} x - \sqrt{2} x - 3 \\ \\ 2 \sqrt{2} x( \sqrt{2}x + 3) - 1( \sqrt{2} x + 3) \\ \\ ( 2\sqrt{2} x - 1)( \sqrt{2} x + 3) \\ \\ \\ \\ x = \frac{1}{2 \sqrt{2} } and \: x = \frac{ - 3}{ \sqrt{2} }$