Question

3. Form the quadratic equation if its roots are 5 and -7.​

Answer 1

Answer:

x^2 + 11x - 35 = 0

Step-by-step explanation:

the roots of the quadratic equation are 5 and-7

let alpha=5. and beta= -7

alpha + beta =5+(-7)

=5-7

= -2

alpha× beta=5 ×(-7)

= -35

the required quadratic equation is

x^2 - (alpha + beta)x + alpha×beta = 0

therefore,

x^2 + 11x - 35 = 0