Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x-2)^4+3*(x-2)^2-10=0
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Equation x^2+7x-18=0
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Equation sin(x)-cos(x)=-1
- Equation (m+8)*(m-7)=0
- Express {x} in terms of y where:
- -11*x+4*y=-8
- 1*x+7*y=8
- -14*x+16*y=14
- -5*x+5*y=-9
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Identical expressions
- -(five thousand, two hundred and eighty - five thousand)/ five thousand =(zero . twenty-five (x- zero . four))/(one - zero . twenty-five * zero . four)
- minus (5280 minus 5000) divide by 5000 equally (0.025(x minus 0.04)) divide by (1 minus 0.025 multiply by 0.04)
- minus (five thousand, two hundred and eighty minus five thousand) divide by five thousand equally (zero . twenty minus five (x minus zero . four)) divide by (one minus zero . twenty minus five multiply by zero . four)
- -(5280-5000)/5000=(0.025(x-0.04))/(1-0.0250.04)
- -5280-5000/5000=0.025x-0.04/1-0.0250.04
- -(5280-5000) divide by 5000=(0.025(x-0.04)) divide by (1-0.025*0.04)
-
Similar expressions
- -(5280+5000)/5000=(0.025(x-0.04))/(1-0.025*0.04)
- -(5280-5000)/5000=(0.025(x-0.04))/(1+0.025*0.04)
- -(5280-5000)/5000=(0.025(x+0.04))/(1-0.025*0.04)
- (5280-5000)/5000=(0.025(x-0.04))/(1-0.025*0.04)
-(5280-5000)/5000=(0.025(x-0.04))/(1-0.025*0.04) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/x - 1/25\
|--------|
\ 40 /
-0.056 = ----------
-1
1 + -----
25*40
$$-0.056 = \frac{\frac{1}{40} \left(x - \frac{1}{25}\right)}{\frac{-1}{25 \cdot 40} + 1}$$
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:
Move free summands (without x)
from left part to right part, we given:
$$0 = \frac{25 x}{999} + 0.054998998998999$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-25\right) x}{999} = 0.054998998998999$$
Divide both parts of the equation by -25/999
We get the answer: x = -2.19776
-(5280-5000)/5000 = ((1/40)*(x-(1/25)))/(1-(1/40)*(1/25))
Expand brackets in the left part
-5280/5000+5000/5000 = ((1/40)*(x-(1/25)))/(1-(1/40)*(1/25))
Expand brackets in the right part
-5280/5000+5000/5000 = 1/40x+1/25))/1+/1/401/25)
Looking for similar summands in the left part:
-0.0560000000000000 = 1/40x+1/25))/1+/1/401/25)
Move free summands (without x)
from left part to right part, we given:
$$0 = \frac{25 x}{999} + 0.054998998998999$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-25\right) x}{999} = 0.054998998998999$$
Divide both parts of the equation by -25/999
x = 0.0549989989989990 / (-25/999)
We get the answer: x = -2.19776
Sum and product of roots
[src]
sum
-2.19776000000000
$$-2.19776$$
=
-2.19776000000000
$$-2.19776$$
product
-2.19776000000000
$$-2.19776$$
=
-2.19776000000000
$$-2.19776$$
-2.19776000000000