If the roots of the equation qx^2+2px+2q=0 are real and unequal prove that the roots of the equation (p+q)x^2+2qx+(p-q)=0 are - Maths - Complex Numbers and Quadratic Equations

Question

If the roots of the equation qx^2+2px+2q=0 are real and unequal
prove that the roots of the equation (p+q)x^2+2qx+(p-q)=0 are
imaginary

Brijendra P. · Accepted Answer

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If the roots of the equation qx^2+2px+2q=0 are real and unequal prove that the roots of the equation (p+q)x^2+2qx+(p-q)=0 are imaginary.