Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 3(x+3)=2x+5
-
Equation (x-3)*(x+2)=0
- Equation x^2-10*x-24=0
-
Equation 25x^2-1=0
- Express {x} in terms of y where:
- -17*x+18*y=10
- -20*x-13*y=15
- 5*x+19*y=-3
- -13*x-9*y=1
-
Identical expressions
- sqrt(six *x- eight)=sqrt(three *x+ three)
- square root of (6 multiply by x minus 8) equally square root of (3 multiply by x plus 3)
- square root of (six multiply by x minus eight) equally square root of (three multiply by x plus three)
- √(6*x-8)=√(3*x+3)
- sqrt(6x-8)=sqrt(3x+3)
- sqrt6x-8=sqrt3x+3
-
Similar expressions
- sqrt(6*x+8)=sqrt(3*x+3)
- sqrt(3^(x+3))-27^x=0
- sqrt3(x+3)=2
- sqrt(6*x-8)=sqrt(3*x-3)
- sqrt(3x+34)=8
sqrt(6*x-8)=sqrt(3*x+3) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
_________ _________ \/ 6*x - 8 = \/ 3*x + 3
$$\sqrt{6 x - 8} = \sqrt{3 x + 3}$$
Detail solution
Given the equation
$$\sqrt{6 x - 8} = \sqrt{3 x + 3}$$
We raise the equation sides to 2-th degree
$$6 x - 8 = 3 x + 3$$
Move free summands (without x)
from left part to right part, we given:
$$6 x = 3 x + 11$$
Move the summands with the unknown x
from the right part to the left part:
$$3 x = 11$$
Divide both parts of the equation by 3
We get the answer: x = 11/3
check:
$$x_{1} = \frac{11}{3}$$
$$- \sqrt{3 x_{1} + 3} + \sqrt{6 x_{1} - 8} = 0$$
=
$$- \sqrt{3 + \frac{3 \cdot 11}{3}} + \sqrt{-8 + \frac{6 \cdot 11}{3}} = 0$$
=
- the identity
The final answer:
$$x_{1} = \frac{11}{3}$$
$$\sqrt{6 x - 8} = \sqrt{3 x + 3}$$
We raise the equation sides to 2-th degree
$$6 x - 8 = 3 x + 3$$
Move free summands (without x)
from left part to right part, we given:
$$6 x = 3 x + 11$$
Move the summands with the unknown x
from the right part to the left part:
$$3 x = 11$$
Divide both parts of the equation by 3
x = 11 / (3)
We get the answer: x = 11/3
check:
$$x_{1} = \frac{11}{3}$$
$$- \sqrt{3 x_{1} + 3} + \sqrt{6 x_{1} - 8} = 0$$
=
$$- \sqrt{3 + \frac{3 \cdot 11}{3}} + \sqrt{-8 + \frac{6 \cdot 11}{3}} = 0$$
=
0 = 0
- the identity
The final answer:
$$x_{1} = \frac{11}{3}$$
Sum and product of roots
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sum
11/3
$$\frac{11}{3}$$
=
11/3
$$\frac{11}{3}$$
product
11/3
$$\frac{11}{3}$$
=
11/3
$$\frac{11}{3}$$
11/3