Question

The sum of two roots of a quadratie equation is 5and sum of their cubes is 35 - Find the quadratic equation answer explaining me​

Answer 1

Step-by-step explanation:

Let the roots of our equation are a,b

we have sum of roots

a+b= 5. (eq1)

and

a³+b³=35

AND

using the above relation we can find the product of roots of the equations.

35=(5)³-3ab(5)

35=125-15ab

15ab=90

ab=6. (eq2)

HENCE Product of the roots of the equation.

using both equations 1 and 2

the required equation with the sun of roots 5 and product of roots 6.

ANSWER x²-5x+6=0