Question

quadratic equation if alpha =3.2 and beta is -5
​

Answer 1

Answer:

Vieta’s formula for Quadratic Equations

Let α and β be the roots of the quadratic equation ax2 + bx + c = 0. Then ax2 + bx + c = a ( x − α )( x − β ) = ax2 − a (α + β ) x + a (αβ ) = 0.

Equating the coefficients of like powers, we see that

α + β = −b/a and αβ = c/a.

So a quadratic equation whose roots are α and β is x2 − (α + β )x + αβ = 0 ; that is, a quadratic equation with given roots is,

x2 − (sum of the roots) x + product of the roots = 0. (1)

Step-by-step explanation:

Mark me as brainleist

Answer 2

Answer:

Step-by-step explanation:

general equation if roots are given

x^2 - [alpha+beta]x + alpha*beta

= x^2-[3.2-5]x - 3.2*5

= x^2+1.8x-16

or 5x^2+9x^2-80