Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2=-100
-
Equation -7*x=4
-
Equation 10x-2(4x-5)=2x+10
-
Equation -4/7*x^2+28=0
- Express {x} in terms of y where:
- 4*x-4*y=-19
- 5*x-4*y=14
- -16*x+18*y=9
- 4*x-1*y=12
-
Identical expressions
- sqrt5(twenty-six -4x)= two
- square root of 5(26 minus 4x) equally 2
- square root of 5(twenty minus six minus 4x) equally two
- √5(26-4x)=2
- sqrt526-4x=2
-
Similar expressions
- sqrt5(26+4x)=2
sqrt5(26-4x)=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\left(26 - 4 x\right)^{0.2} = 2$$
Because equation degree is equal to = 0.2 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 5-th degree:
We get:
$$\left(\left(26 - 4 x\right)^{0.2}\right)^{5} = 2^{5}$$
or
$$26 - 4 x = 32$$
Move free summands (without x)
from left part to right part, we given:
$$- 4 x = 6$$
Divide both parts of the equation by -4
We get the answer: x = -1.5
The final answer:
$$x_{1} = -1.5$$
$$\left(26 - 4 x\right)^{0.2} = 2$$
Because equation degree is equal to = 0.2 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 5-th degree:
We get:
$$\left(\left(26 - 4 x\right)^{0.2}\right)^{5} = 2^{5}$$
or
$$26 - 4 x = 32$$
Move free summands (without x)
from left part to right part, we given:
$$- 4 x = 6$$
Divide both parts of the equation by -4
x = 6 / (-4)
We get the answer: x = -1.5
The final answer:
$$x_{1} = -1.5$$
Sum and product of roots
[src]
sum
-1.50000000000000
$$-1.5$$
=
-1.50000000000000
$$-1.5$$
product
-1.50000000000000
$$-1.5$$
=
-1.50000000000000
$$-1.5$$
-1.50000000000000
Numerical answer
[src]
x1 = -1.5
x2 = -1.5 + 2.96369604345652e-18*i
x3 = -1.50000000000029 + 6.45685164408499e-13*i
x3 = -1.50000000000029 + 6.45685164408499e-13*i