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Find K, One of the Roots of the Quadratic Equation Kx2 - 7x + 12 = 0 is 3. - Algebra

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Question

Find k, one of the roots of the quadratic equation kx2 - 7x + 12 = 0 is 3.

Sum

Solution

The given quadratic equation is kx2 - 7x + 12 = 0 

∴ Put x = 3

∴ k(3)2 - 7(3) + 12 = 0

∴ 9k - 21 + 12 = 0

∴ 9k - 9 = 0

∴ k = `9/9`

∴ k = 1 

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