Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 2x-3(x+3)=-5
-
Equation 5x+12=8x+30
-
Equation 1/x^2-3/x-4=0
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Equation x^2=2x+8
- Express {x} in terms of y where:
- -13*x-7*y=16
- -13*x+7*y=-15
- -9*x+11*y=9
- 9*x+14*y=-10
-
Identical expressions
- sqrt three (x+3)= two
- square root of 3(x plus 3) equally 2
- square root of three (x plus 3) equally two
- √3(x+3)=2
- sqrt3x+3=2
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Similar expressions
- sin(2*x)=sqrt(3)*(x+3*pi/2)
- sqrt3(x-3)=2
- sqrt(3*x+3)/2=3
sqrt3(x+3)=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\left(x + 3\right)^{0.333333333333333} = 2$$
Because equation degree is equal to = 0.333333333333333 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 3-th degree:
We get:
$$\left(\left(x + 3\right)^{0.333333333333333}\right)^{3} = 2^{3}$$
or
$$x + 3 = 8$$
Move free summands (without x)
from left part to right part, we given:
$$x = 5$$
We get the answer: x = 5
The final answer:
$$x_{1} = 5$$
$$\left(x + 3\right)^{0.333333333333333} = 2$$
Because equation degree is equal to = 0.333333333333333 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 3-th degree:
We get:
$$\left(\left(x + 3\right)^{0.333333333333333}\right)^{3} = 2^{3}$$
or
$$x + 3 = 8$$
Move free summands (without x)
from left part to right part, we given:
$$x = 5$$
We get the answer: x = 5
The final answer:
$$x_{1} = 5$$
Sum and product of roots
[src]
sum
5.00000000000000
$$5.0$$
=
5.00000000000000
$$5.0$$
product
5.00000000000000
$$5.0$$
=
5.00000000000000
$$5.0$$
5.00000000000000