Question

form a quadratic equation whose zeroes are -1 and -7/5

Answer 1

Question:

Form a quadratic equation whose zeroes are -1and $\frac{-7}{5}$

Solution:

We know that a quadratic equation whose two roots are $\alpha$ and $\beta$ is given by $x^2-(\alpha+ \beta)x+\alpha \beta=0$

Here, two roots are -1 and $\frac{-7}{5}$, so the equation will be

$x^2-(-1+ \frac{-7}{5})x+ \frac{7}{5}=0 \\\\ \implies x^2+ \frac{12}{5}x + \frac{7}{5}=0 \\\\ \implies 5x^2+12x+7=0$

Answer 2

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