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Scalar Triple Product

If the sun of...

Question

If the sun of the toys of the equation x^2-px+q=0 be m times their difference, prove that p^2(m^2-1)=4m^2q

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Q. If the roots of the equation x² + px + q = 0 differ by 1, prove that p2 = 1 + 4q

Q. If one root of the equation

x^{2} + p x + q = 0

is 3 times the other prove that

3 p^{2} = 16 q

Q. If the roots of equation

x^{2} + p x + q = 0

differ by 1, then

Q. If difference of roots of the equation

x^{2} - p x + q = 0

1,

p^{2} + 4 q^{2}

Q. If the ratio of the roots of the quadrtic equation

x^{2} + p x + q = 0

be equal to the ratio of the roots of

x^{2} + i x + m = 0

, then prove that

p^{2} m = I^{2} q

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