Question

find the quadratic equation having roots -2,3?​

Answer 1

Discriminant is a number inside the square root.

Real roots exist only if the discriminant is positive.

-3 happening to be negative, there are no real roots of the quadratic equation

Answer 2

Answer:

The equation for these roots is x² -  x - 6 = 0

Step-by-step explanation:

the formula to find the quadratic equation with given roots is:

x² - (Sum of roots)(x) + (Product of roots)=0

Here,

sum of roots= (-2+3)= 1

and product of roots = (-2 . 3)=(-6)

Now simply put these values in the formula

x² - (1)(x) + (-6)=0

So the final answer that you would get is x² -  x - 6 = 0.

I hope it cleared your doubt.