Mister Exam
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Identical expressions
- sqrt(3x+ ten)= five
- square root of (3x plus 10) equally 5
- square root of (3x plus ten) equally five
- √(3x+10)=5
- sqrt3x+10=5
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Similar expressions
- sqrt(3x-10)=5
sqrt(3x+10)=5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sqrt{3 x + 10} = 5$$
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:
$$\left(\sqrt{3 x + 10}\right)^{2} = 5^{2}$$
or
$$3 x + 10 = 25$$
Move free summands (without x)
from left part to right part, we given:
$$3 x = 15$$
Divide both parts of the equation by 3
We get the answer: x = 5
The final answer:
$$x_{1} = 5$$
$$\sqrt{3 x + 10} = 5$$
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:
$$\left(\sqrt{3 x + 10}\right)^{2} = 5^{2}$$
or
$$3 x + 10 = 25$$
Move free summands (without x)
from left part to right part, we given:
$$3 x = 15$$
Divide both parts of the equation by 3
x = 15 / (3)
We get the answer: x = 5
The final answer:
$$x_{1} = 5$$