Find k from the Zeroes

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PolynomialsVideo challenge · SAV46

Find k from the Zeroes

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 7

The problem

If α\alpha and β\beta are the zeroes of the quadratic polynomial f(x)=2x2+5x+kf(x) = 2x^2 + 5x + k such that α2+β2+αβ=214\alpha^2 + \beta^2 + \alpha\beta = \dfrac{21}{4}, find the value of kk.

Step 1 · Your move

Before the guided steps, what value did you get for kk?

f(x)=2x2+5x+kf(x) = 2x^2 + 5x + k
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