Question

Find the value of a if m and n are zeros of a polynomial a x square minus 35 x equal to 12 and m square + n square is equal to 1

Answer 1

$since \: m = n = x \\ m {}^{2} + n {}^{2} = 1 \\ x {}^{2} - 35x = 12 \\ x {}^{2} - 35x - 12 = 0 \\ discriminative = b {}^{2} - 4ac \: and \: put \: the \: value \: m {}^{2} + n {}^{2} = 1$