Question

"14) If \\( \\alpha \\) and \\( \\beta \\) are the zeros of the quadratic polynomial \\( f ( x ) = x ^ { 2 } - m x + q \\) . prove that\n\\( \\frac { \\alpha ^ { 2 } } { \\beta ^ { 2 } } + \\frac { \\beta ^ { 2 } } { \\alpha ^ { 2 } } = \\frac { p ^ { 4 } } { q ^ { 2 } } - \\frac { 4 p ^ { 2 } } { q } + 2 \\)"

Answer 1