Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 5x-9=3x+1
-
Equation -9*(8-9x)=4x+5
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Equation (x^2+4)/x=0
-
Equation x^2+4x+2=0
- Express {x} in terms of y where:
- sqrt(x)+sqrt(y)=69,49
- (x^2+y^2)×(x+y-3)=2xy
- sqrt(1-x)^2+(4-y)^2=0
- lnx+sin(y/x+2x)=4
- Derivative of:
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(x^2+4)/x
- Integral of d{x}:
-
(x^2+4)/x
-
Identical expressions
- (x^ two + four)/x= zero
- (x squared plus 4) divide by x equally 0
- (x to the power of two plus four) divide by x equally zero
- (x2+4)/x=0
- x2+4/x=0
- (x²+4)/x=0
- (x to the power of 2+4)/x=0
- x^2+4/x=0
- (x^2+4)/x=O
- (x^2+4) divide by x=0
-
Similar expressions
- (x^2-4)/x=0
(x^2+4)/x=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{x^{2} + 4}{x} = 0$$
Multiply the equation sides by the denominators:
x
we get:
$$x^{2} + 4 = 0$$
$$x^{2} + 4 = 0$$
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 no real roots,
but complex roots is exists.
or
$$x_{1} = 2 i$$
$$x_{2} = - 2 i$$
$$\frac{x^{2} + 4}{x} = 0$$
Multiply the equation sides by the denominators:
x
we get:
$$x^{2} + 4 = 0$$
$$x^{2} + 4 = 0$$
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 no real roots,
but complex roots is exists.
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
or
$$x_{1} = 2 i$$
$$x_{2} = - 2 i$$
Sum and product of roots
[src]
sum
-2*I + 2*I
$$- 2 i + 2 i$$
=
0
$$0$$
product
-2*I*2*I
$$- 2 i 2 i$$
=
4
$$4$$
4
The graph