Quadratic from Pure Imaginary Roots

Form the quadratic equation whose roots are $etween i(a-b)$ .

~4 minAnswer checked instantlyQuadratic equationsPure imaginary rootsAlgebraic expansion

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.a, No. 9

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Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.

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