Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation sin(x)=cos(x)
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Equation cos(x)=(-1/2)
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Equation sin(x-1)=0
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Equation 4*x^2-25=0
- Express {x} in terms of y where:
- 12*x+5*y=7
- -10*x+14*y=20
- -8*x-17*y=-12
- -6*x+17*y=-15
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Identical expressions
- four / five ×(x+ two * one / two)/ five = two / three *(two *x+ five)
- 4 divide by 5×(x plus 2 multiply by 1 divide by 2) divide by 5 equally 2 divide by 3 multiply by (2 multiply by x plus 5)
- four divide by five ×(x plus two multiply by one divide by two) divide by five equally two divide by three multiply by (two multiply by x plus five)
- 4/5×(x+21/2)/5=2/3(2x+5)
- 4/5×x+21/2/5=2/32x+5
- 4 divide by 5×(x+2*1 divide by 2) divide by 5=2 divide by 3*(2*x+5)
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Similar expressions
- 4/5×(x+2*1/2)/5=2/3*(2*x-5)
- 4/5×(x-2*1/2)/5=2/3*(2*x+5)
4/5×(x+2*1/2)/5=2/3*(2*x+5) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/ / 2\\
|4*|x + -||
| \ 2/|
|---------|
\ 5 / 2*(2*x + 5)
----------- = -----------
5 3
$$\frac{\frac{4}{5} \left(x + \frac{2}{2}\right)}{5} = \frac{2 \left(2 x + 5\right)}{3}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Move free summands (without x)
from left part to right part, we given:
$$\frac{4 x}{25} = \frac{4 x}{3} + \frac{238}{75}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-88\right) x}{75} = \frac{238}{75}$$
Divide both parts of the equation by -88/75
We get the answer: x = -119/44
4/5*(x+2*1/2)/5 = 2/3*(2*x+5)
Expand brackets in the left part
4/5*x/5+4/5*2*1/2/5 = 2/3*(2*x+5)
Expand brackets in the right part
4/5*x/5+4/5*2*1/2/5 = 2/3*2*x+2/3*5
Move free summands (without x)
from left part to right part, we given:
$$\frac{4 x}{25} = \frac{4 x}{3} + \frac{238}{75}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-88\right) x}{75} = \frac{238}{75}$$
Divide both parts of the equation by -88/75
x = 238/75 / (-88/75)
We get the answer: x = -119/44
Sum and product of roots
[src]
sum
-119 ----- 44
$$- \frac{119}{44}$$
=
-119 ----- 44
$$- \frac{119}{44}$$
product
-119 ----- 44
$$- \frac{119}{44}$$
=
-119 ----- 44
$$- \frac{119}{44}$$
-119/44