Question

Find the quadratic equation whose sum of the zeroes is (-5) and product of the zeroes is 4​

Answer 1

Answer:-

$\implies \: \bf{ {x}^{2} + 5x + 4 = 0}$

Step - by - step explanation:-

To find :-

Find quadratic equation by the given data.

Given:-

• Sum of zeros = -5

• Product of zeros = 4

Solution:-

We know that,

$\bf{ {x}^{2} - (sum \: of \: zeros)x + product \: of \: zeros} = 0 \\ \\ \bf{{x}^{2} - ( - 5)x + 4 = 0} \\ \\ \boxed{ \underline{\bf{ {x}^{2} + 5x + 4 = 0}}} \\ \\ \star \: \blue{ \bf{ this \: is \: the \: required \: quadratic \: equation}}$

Hope it helps you.