The sum and product of the roots of a quadratic equation are $\dfrac{3}{4}$ and $-\dfrac{5}{2}$

Question

The sum and product of the roots of a quadratic equation are $\dfrac{3}{4}$ and $-\dfrac{5}{2}$ respectively. Find this equation in the form $ax^2+bx+c=0$, where $a$, $b$ and $c$ are integers.

Accepted Answer

$4x^2-3x-10=0$

Integer coefficients from fractional sum and product

Integer coefficients from fractional sum and product

Solution:

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