Question

M^4 - 8m^2+16=0 solve this equation and find the value of m

Answer 1

${m}^{4} - {8m}^{2} + 16 = 0 \\ {m}^{2} ( {m}^{2} - 8) = - 16 \\ \\ m = - \sqrt{16} = - 4 \: \: or \: 4 \\ \\ \\ {m}^{2} - 8 = - 16 \\ {m}^{2} = - 16 + 8 \\ {m}^{2} = - 8 \\ m = \sqrt{8} \: \: or \: \: 2\sqrt{4}$