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in Quadratic Equations by (34.1k points)
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Sum of the roots of a quadratic equation is double their product. Find k if equation is x2 – 4kx + k + 3 = 0.

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Best answer

x2 – 4kx + k + 3 = 0

Comparing the above equation with

ax2 + bx + c = 0, we get

a = 1, b = – 4k, c = k + 3

Let α and β be the roots of the given quadratic equation.

Then, α + β  = -b/a and αβ = c/a

According to the given condition,

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