If the range of so that the equation has two distinct real roots

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If the range of mm so that the equation (x2+2mx+7m−12)⋅(4x2−4mx+5m−6)=0(x^2 + 2mx + 7m - 12) \cdot (4x^2 - 4mx + 5m - 6) = 0 has two distinct real roots, is (a,b)(a, b), then find (a+b)(a+b).

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