Mister Exam

Other calculators

(4-x^2)^(1/2) 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     
\/  4 - x   = 0
$$\sqrt{4 - x^{2}} = 0$$
Detail solution
$$\sqrt{4 - x^{2}} = 0$$
transform
$$4 - x^{2} = 0$$
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
$$a = -1$$
$$b = 0$$
$$c = 4$$
, then
D = b^2 - 4 * a * c = 

(0)^2 - 4 * (-1) * (4) = 16

Because D > 0, then the equation has two roots.
x1 = (-b + sqrt(D)) / (2*a)

x2 = (-b - sqrt(D)) / (2*a)

or
$$x_{1} = -2$$
$$x_{2} = 2$$
The graph
Rapid solution [src]
x1 = -2
$$x_{1} = -2$$
x2 = 2
$$x_{2} = 2$$
x2 = 2
Sum and product of roots [src]
sum
-2 + 2
$$-2 + 2$$
=
0
$$0$$
product
-2*2
$$- 4$$
=
-4
$$-4$$
-4
Numerical answer [src]
x1 = 2.0
x2 = -2.0
x2 = -2.0