Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 12-x=x
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Equation 4x+5=2x-7
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Equation 3*x^2-9=0
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Equation x^2-x+1=0
- Express {x} in terms of y where:
- 20*x+9*y=17
- 11*x-11*y=-17
- -17*x-12*y=-9
- -6*x+1*y=-5
- Integral of d{x}:
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(4-x^2)^(1/2)
- Graphing y =:
- (4-x^2)^(1/2)
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Identical expressions
- (four -x^ two)^(one / two)
- (4 minus x squared ) to the power of (1 divide by 2)
- (four minus x to the power of two) to the power of (one divide by two)
- (4-x2)(1/2)
- 4-x21/2
- (4-x²)^(1/2)
- (4-x to the power of 2) to the power of (1/2)
- 4-x^2^1/2
- (4-x^2)^(1 divide by 2)
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Similar expressions
- (4+x^2)^(1/2)
(4-x^2)^(1/2) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
$$\sqrt{4 - x^{2}} = 0$$
transform
$$4 - x^{2} = 0$$
This equation is of the form
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
Because D > 0, then the equation has two roots.
or
$$x_{1} = -2$$
$$x_{2} = 2$$
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
$$x_{1} = -2$$
$$x_{2} = 2$$