Reciprocal Zeroes Challenge

Polynomials

Reciprocal Zeroes Challenge

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

Step 1 of 3

The problem

If α\alpha and β\beta are the zeroes of x2−3x+kx^2 - 3x + k and 1α+1β=32\dfrac{1}{\alpha} + \dfrac{1}{\beta} = \dfrac{3}{2}, find kk.
x2−3x+kx^2-3x+k
→
α+β=?\alpha + \beta = ?
αβ=?\alpha\beta = ?
1α+1β=32\dfrac{1}{\alpha} + \dfrac{1}{\beta} = \dfrac{3}{2}

Step 1 · Your move

What are α+β\alpha + \beta and αβ\alpha\beta?

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