Question

construct quadratic equation if sum of roots and
product of roots are 4 and -5 ​

Answer 1

Answer:

x^2+1x -20=0

Step-by-step explanation:

Sum of the roots=4+(-5)=-1

Product of the roots=4×(-)5=-20

The quadratic equation is x^2

−(sumoftheroots)x+productoftheroots=0

x^2+1x -20=0

∴ the quadratic equation is x^+1x-20=0

Answer 2

The zeroes of the polynomial are 4 and -5

= $\alpha + \beta$ = 4 + (-5) = -1

= $\alpha \beta$ = 4 * (-5)  = -20

= then, the quadratic equation will be

= $x^{2}$ + x - 20