Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation -x=-12
-
Equation tan(x/3)+1=0
- Equation 8*x-6*(|y-1|)*pi*pi*x=-8,y
- Equation sqrt(x)^1=0
- Express {x} in terms of y where:
- 13*x+9*y=-19
- -10*x-3*y=4
- -10*x+3*y=-7
- -2*x-5*y=-7
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Identical expressions
- sqrt(fourteen -5x)= nine
- square root of (14 minus 5x) equally 9
- square root of (fourteen minus 5x) equally nine
- √(14-5x)=9
- sqrt14-5x=9
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Similar expressions
- sqrt(14+5x)=9
sqrt(14-5x)=9 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sqrt{14 - 5 x} = 9$$
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:
$$\left(\sqrt{14 - 5 x}\right)^{2} = 9^{2}$$
or
$$14 - 5 x = 81$$
Move free summands (without x)
from left part to right part, we given:
$$- 5 x = 67$$
Divide both parts of the equation by -5
We get the answer: x = -67/5
The final answer:
$$x_{1} = - \frac{67}{5}$$
$$\sqrt{14 - 5 x} = 9$$
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:
$$\left(\sqrt{14 - 5 x}\right)^{2} = 9^{2}$$
or
$$14 - 5 x = 81$$
Move free summands (without x)
from left part to right part, we given:
$$- 5 x = 67$$
Divide both parts of the equation by -5
x = 67 / (-5)
We get the answer: x = -67/5
The final answer:
$$x_{1} = - \frac{67}{5}$$