Question

From a quadratic equation whose roots are 2 and -4​

Answer 1

Hey buddy

Here is ur answer

Equation is

${x}^{2} +2x - 8$

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Answer 2

Answ r:

Step-by-step explanation:

Concept:

In the quadratic equation $x2 + 4x + 4 = 0$, any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power solve for x.

Given: 2 and -4 are the roots

Find: To find the quadratic equation

Solution:

Let  $\alpha$ =2 and$\beta$ = -4

Sum of the roots = $\alpha +\beta$= 2–4= -2

Product of the roots =$\alpha *\beta$ =  2 x -4=-8

The quadratic equation is $x^2$-$x$(sum of the roots)+product of the roots=0

                                           $x^2-x$($\alpha +\beta$)+$\alpha *\beta$ = 0

                                           $x^2-x$(-2)-8=0

                                          $x^2+2x-8=0.$

Hence by using the above formula we can from a quadratic equation that is $x^2+2x-8=0.$

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