Question

Form a quadratic equation whose roots are 3 and 5.

Answer 1

x^-8x+15.. is the quadratic equation that is required

Answer 2

Answer:

$x^{2}$ - 8x + 15 = 0

Step-by-step explanation:

Given:- Roots of a quadratic equation are 3 and 5.

To Find:- Quadratic equation whose roots are 3 and 5.

Solution:-

A Quadratic equation is a polynomial whose variables have a degree of 2.

We know that, If m and n are the roots of any quadratic equation $ax^{2} +bx+c=0$  then the equation becomes  $x^{2}-(m+n)x + mn =0$

Here the roots are m = 3 and n = 5.

m + n = 5 + 3

         = 8

m × n = 5 × 3

         = 15

So the quadratic equation becomes  $x^{2}$ - 8x + 15 = 0

Therefore, the quadratic equation with roots 3 and 5 is  $x^{2}$ - 8x + 15 = 0.

#SPJ3

Similar concept based problems can be seen in the below link

https://brainly.in/question/22379894

https://brainly.in/question/20415354