Ok im stuck! Nature of the roots of x^2=0
a: no real roots c: one real roots
b: two distinct real roots d: three distinct real roots

Question

Ok im stuck! Nature of the roots of x^2=0
a: no real roots                    c: one real roots
b: two distinct real roots      d: three distinct real roots

amistre64 · Answer

what are the solutions to x^2 = 0?

solomonzelman · Answer

$$x^2=0.$$
you know that when you have an equation like$$x^2=c~~~~~then,~~~~x=±\sqrt{c}$$So in this cae it ould be just zero. Because there is no such a thing as +0 or -0.

mathstudent55 · Answer

Here's the good, old quadratic formula.

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} $

The part $b^2 - 4ac$ is called the discriminant, $d$.
It allows you to tell the nature of the roots of the quadratic equation without having to solve the quadratic equation.

To do so, first, evaluate the discriminant, $d$.

Then if:
$d \lt 0$ you get two complex roots.
$d = 0$ you get one single real root.
$d \gt 0$ you get two real roots.

mathstudent55 · Answer

In your case, a = 1, b = 0, and c = 0, so d = 0.