Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 7*x=0
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Equation 3x-2=x+4
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Equation tan(x)=7
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Equation (x-3)(x^2-2x+1)=3(x-1)
- Express {x} in terms of y where:
- 18*x-10*y=-9
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Identical expressions
- sqrt(two *x+ seven)/ three = five
- square root of (2 multiply by x plus 7) divide by 3 equally 5
- square root of (two multiply by x plus seven) divide by three equally five
- √(2*x+7)/3=5
- sqrt(2x+7)/3=5
- sqrt2x+7/3=5
- sqrt(2*x+7) divide by 3=5
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Similar expressions
- sqrt(2*x-7)/3=5
sqrt(2*x+7)/3=5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\frac{\sqrt{2 x + 7}}{3} = 5$$
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:
$$\frac{\left(\sqrt{2 x + 7}\right)^{2}}{9} = 5^{2}$$
or
$$\frac{2 x}{9} + \frac{7}{9} = 25$$
Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{9} = \frac{218}{9}$$
Divide both parts of the equation by 2/9
We get the answer: x = 109
The final answer:
$$x_{1} = 109$$
$$\frac{\sqrt{2 x + 7}}{3} = 5$$
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:
$$\frac{\left(\sqrt{2 x + 7}\right)^{2}}{9} = 5^{2}$$
or
$$\frac{2 x}{9} + \frac{7}{9} = 25$$
Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{9} = \frac{218}{9}$$
Divide both parts of the equation by 2/9
x = 218/9 / (2/9)
We get the answer: x = 109
The final answer:
$$x_{1} = 109$$