Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 3*x^2=18*x
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Equation 0*x=5
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Equation 5,23+x=-7,24
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Equation 12/x*10=13
- Express {x} in terms of y where:
- 10*x-18*y=-6
- 3*x-12*y=-14
- 16*x+11*y=-14
- -4*x+20*y=-14
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Identical expressions
- √(4x- three)= three
- √(4x minus 3) equally 3
- √(4x minus three) equally three
- √4x-3=3
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Similar expressions
- √(4x+3)=3
√(4x-3)=3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sqrt{4 x - 3} = 3$$
Because equation degree is equal to = 1/2 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 2-th degree:
We get:
$$\left(\sqrt{4 x - 3}\right)^{2} = 3^{2}$$
or
$$4 x - 3 = 9$$
Move free summands (without x)
from left part to right part, we given:
$$4 x = 12$$
Divide both parts of the equation by 4
We get the answer: x = 3
The final answer:
$$x_{1} = 3$$
$$\sqrt{4 x - 3} = 3$$
Because equation degree is equal to = 1/2 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 2-th degree:
We get:
$$\left(\sqrt{4 x - 3}\right)^{2} = 3^{2}$$
or
$$4 x - 3 = 9$$
Move free summands (without x)
from left part to right part, we given:
$$4 x = 12$$
Divide both parts of the equation by 4
x = 12 / (4)
We get the answer: x = 3
The final answer:
$$x_{1} = 3$$