Question

The roots of a quadratic equation are 5 and
-2. Then, the equation is​

Answer 1

Answer:

x² + 3x - 10

Explanation:

given the roots are: α, β.

the equation is in the form:

f(x) = x²+(α+β)x+αβ -------------------- (1)

now, let α = 5, β = -2.

so putting the values of α and β in equation (1),

so the equation is as follows:

x² + (5+(-2))x+5(-2)

= x² + 3x - 10

pls mark as brainliest

Answer 2

let alpha is 5 and bita is -2

sum of zero= alpha + bita

= 5+-2=3

Product of zero = 5×-2=-10

quadratic equations

x^2-(sum of zero)x+product of zero

x^2 - 3x + -10

x^2-3x-10

please follow me