Mister Exam

Other calculators


x^2

x^2 equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
 2    
x  = 0
$$x^{2} = 0$$
Detail solution
This equation is of the form
a*x^2 + b*x + c = 0

A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = 1$$
$$b = 0$$
$$c = 0$$
, then
D = b^2 - 4 * a * c = 

(0)^2 - 4 * (1) * (0) = 0

Because D = 0, then the equation has one root.
x = -b/2a = -0/2/(1)

$$x_{1} = 0$$
Vieta's Theorem
it is reduced quadratic equation
$$p x + q + x^{2} = 0$$
where
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = 0$$
Vieta Formulas
$$x_{1} + x_{2} = - p$$
$$x_{1} x_{2} = q$$
$$x_{1} + x_{2} = 0$$
$$x_{1} x_{2} = 0$$
The graph
Rapid solution [src]
x1 = 0
$$x_{1} = 0$$
x1 = 0
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
0
$$0$$
=
0
$$0$$
0
Numerical answer [src]
x1 = 0.0
x1 = 0.0
The graph
x^2 equation