Mister Exam
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How to use it?
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Identical expressions
- sqrt(3x+ thirty-four)= eight
- square root of (3x plus 34) equally 8
- square root of (3x plus thirty minus four) equally eight
- √(3x+34)=8
- sqrt3x+34=8
-
Similar expressions
- sqrt(3x-34)=8
sqrt(3x+34)=8 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sqrt{3 x + 34} = 8$$
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:
$$\left(\sqrt{3 x + 34}\right)^{2} = 8^{2}$$
or
$$3 x + 34 = 64$$
Move free summands (without x)
from left part to right part, we given:
$$3 x = 30$$
Divide both parts of the equation by 3
We get the answer: x = 10
The final answer:
$$x_{1} = 10$$
$$\sqrt{3 x + 34} = 8$$
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:
$$\left(\sqrt{3 x + 34}\right)^{2} = 8^{2}$$
or
$$3 x + 34 = 64$$
Move free summands (without x)
from left part to right part, we given:
$$3 x = 30$$
Divide both parts of the equation by 3
x = 30 / (3)
We get the answer: x = 10
The final answer:
$$x_{1} = 10$$
Sum and product of roots
[src]
sum
0 + 10
$$0 + 10$$
=
10
$$10$$
product
1*10
$$1 \cdot 10$$
=
10
$$10$$
10
The graph