#1229 · Algebra · Quadratics

Equation from sum and difference squares

Form the equation whose roots are the squares of the sum and of the difference of the roots of $2 x^{2} + 2 (m + n) x + m^{2} + n^{2} = 0$ .

~10 minAnswer checked instantlyquadratic equationssum and difference of roots

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.a, No. 29

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).