Review question

# If the roots of $2x^2+kx+3=0$, are $\alpha$ and $\beta$, what is $k$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8732

## Suggestion

The roots of the quadratic equation $2x^2+kx+3=0$, where $k>0$, are $\alpha$ and $\beta$, whilst those of the equation $3x^2-2x+3$ are $\frac{\alpha}{\beta}$ and $\frac{\beta}{\alpha}$. Calculate the value of $k$.

Since we know the roots of both equations, we could try to rewrite the quadratics in a factorised form and compare coefficients!