Question

Form a quadratic equation whose roots are 5 and (-7)

Answer 1

We know that , in a quadratic equation ax^2 + bx + c with roots α,β

α + β = -b/a and αβ = c/a

So,

-b/a = 5 - 7 = -2

b = 2 and a = 1

and

c/a = 5*-7 = -35

c = -35 and a = 1

so the quadartic equation so formed will be

k(x^2 + 2x - 35) = 0        Where k is the common constant

Hope it Helps!!!!