Mister Exam
Other calculators
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How to use it?
- Equation:
- Equation 3*x^2-48=0
-
Equation 4x^2-20=0
-
Equation 6-5(4x-1)=3
-
Equation x^2+4x-21=0
- Express {x} in terms of y where:
- -3*x-19*y=-9
- 3*x-11*y=20
- -17*x+16*y=-19
- -19*x+10*y=-3
-
Identical expressions
- five / five thousand -(five -x)* three thousand /(zero . ninety-nine * two thousand * five thousand)=((five -x)* three thousand /(zero , ninety-nine * two thousand)+ zero , seven)/ five thousand +(five -x)/(one hundred * two thousand)
- 5 divide by 5000 minus (5 minus x) multiply by 3000 divide by (0.99 multiply by 2000 multiply by 5000) equally ((5 minus x) multiply by 3000 divide by (0,99 multiply by 2000) plus 0,7) divide by 5000 plus (5 minus x) divide by (100 multiply by 2000)
- five divide by five thousand minus (five minus x) multiply by three thousand divide by (zero . ninety minus nine multiply by two thousand multiply by five thousand) equally ((five minus x) multiply by three thousand divide by (zero , ninety minus nine multiply by two thousand) plus zero , seven) divide by five thousand plus (five minus x) divide by (one hundred multiply by two thousand)
- 5/5000-(5-x)3000/(0.9920005000)=((5-x)3000/(0,992000)+0,7)/5000+(5-x)/(1002000)
- 5/5000-5-x3000/0.9920005000=5-x3000/0,992000+0,7/5000+5-x/1002000
- 5 divide by 5000-(5-x)*3000 divide by (0.99*2000*5000)=((5-x)*3000 divide by (0,99*2000)+0,7) divide by 5000+(5-x) divide by (100*2000)
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Similar expressions
- 5/5000-(5-x)*3000/(0.99*2000*5000)=((5+x)*3000/(0,99*2000)+0,7)/5000+(5-x)/(100*2000)
- 5/5000-(5-x)*3000/(0.99*2000*5000)=((5-x)*3000/(0,99*2000)-0,7)/5000+(5-x)/(100*2000)
- 5/5000-(5-x)*3000/(0.99*2000*5000)=((5-x)*3000/(0,99*2000)+0,7)/5000+(5+x)/(100*2000)
- 5/5000-(5-x)*3000/(0.99*2000*5000)=((5-x)*3000/(0,99*2000)+0,7)/5000-(5-x)/(100*2000)
- 5/5000+(5-x)*3000/(0.99*2000*5000)=((5-x)*3000/(0,99*2000)+0,7)/5000+(5-x)/(100*2000)
- 5/5000-(5+x)*3000/(0.99*2000*5000)=((5-x)*3000/(0,99*2000)+0,7)/5000+(5-x)/(100*2000)
5/5000-(5-x)*3000/(0.99*2000*5000)=((5-x)*3000/(0,99*2000)+0,7)/5000+(5-x)/(100*2000) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
(5 - x)*3000 7
------------ + --
/99*2000\ 10
|-------|
1 (5 - x)*3000 \ 100 / 5 - x
---- - ------------ = ----------------- + ------
1000 99*2000 5000 200000
-------*5000
100
$$- \frac{3000 \left(5 - x\right)}{5000 \frac{99 \cdot 2000}{100}} + \frac{1}{1000} = \frac{5 - x}{200000} + \frac{\frac{3000 \left(5 - x\right)}{\frac{99}{100} \cdot 2000} + \frac{7}{10}}{5000}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{3300} = \frac{14489}{6600000} - \frac{2033 x}{6600000}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{4033 x}{6600000} = \frac{14489}{6600000}$$
Divide both parts of the equation by 4033/6600000
We get the answer: x = 14489/4033
5/5000-(5-x)*3000/((99/100)*2000*5000) = ((5-x)*3000/((99/100)*2000)+(7/10))/5000+(5-x)/(100*2000)
Expand brackets in the left part
5/5000-5*3000/+x*3000/99/100*2000*5000) = ((5-x)*3000/((99/100)*2000)+(7/10))/5000+(5-x)/(100*2000)
Expand brackets in the right part
5/5000-5*3000/+x*3000/99/100*2000*5000) = 5*3000/-x*3000/99/100*2000)+7/10)/5000+5-x100*2000
Looking for similar summands in the left part:
-17/33000 + x/3300 = 5*3000/-x*3000/99/100*2000)+7/10)/5000+5-x100*2000
Looking for similar summands in the right part:
-17/33000 + x/3300 = 11089/6600000 - 2033*x/6600000
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{3300} = \frac{14489}{6600000} - \frac{2033 x}{6600000}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{4033 x}{6600000} = \frac{14489}{6600000}$$
Divide both parts of the equation by 4033/6600000
x = 14489/6600000 / (4033/6600000)
We get the answer: x = 14489/4033
Sum and product of roots
[src]
sum
14489 ----- 4033
$$\frac{14489}{4033}$$
=
14489 ----- 4033
$$\frac{14489}{4033}$$
product
14489 ----- 4033
$$\frac{14489}{4033}$$
=
14489 ----- 4033
$$\frac{14489}{4033}$$
14489/4033