Mister Exam
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How to use it?
- Equation:
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Equation 3*x^2-12*x+12=0
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Equation 5(x-2,2)=7x
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Equation -2x=4
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Equation 10/(6-x)=4/(x+2)
- Express {x} in terms of y where:
- 4*x+5*y=7
- 4*x-2*y=4
- -19*x+10*y=11
- 16*x-9*y=-17
- Integral of d{x}:
- 4/(x+2)
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Identical expressions
- ten /(six -x)= four /(x+ two)
- 10 divide by (6 minus x) equally 4 divide by (x plus 2)
- ten divide by (six minus x) equally four divide by (x plus two)
- 10/6-x=4/x+2
- 10 divide by (6-x)=4 divide by (x+2)
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Similar expressions
- 10/(6+x)=4/(x+2)
- 4/x+2+(3/x+3)=8x+3/x+1
- x-4/x-2+8/x2-4+x+4/x+2=0
- 10/(6-x)=4/(x-2)
- (x^2+14*x+24)/(x+24)=0
- ((x-7)/(x-2))+((x+4)/(x+2))=1
10/(6-x)=4/(x+2) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{10}{6 - x} = \frac{4}{x + 2}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$10 \left(x + 2\right) = 4 \left(6 - x\right)$$
$$10 x + 20 = 24 - 4 x$$
Move free summands (without x)
from left part to right part, we given:
$$10 x = 4 - 4 x$$
Move the summands with the unknown x
from the right part to the left part:
$$14 x = 4$$
Divide both parts of the equation by 14
We get the answer: x = 2/7
$$\frac{10}{6 - x} = \frac{4}{x + 2}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 10
b1 = 6 - x
a2 = 4
b2 = 2 + x
so we get the equation
$$10 \left(x + 2\right) = 4 \left(6 - x\right)$$
$$10 x + 20 = 24 - 4 x$$
Move free summands (without x)
from left part to right part, we given:
$$10 x = 4 - 4 x$$
Move the summands with the unknown x
from the right part to the left part:
$$14 x = 4$$
Divide both parts of the equation by 14
x = 4 / (14)
We get the answer: x = 2/7
Sum and product of roots
[src]
sum
2/7
$$\frac{2}{7}$$
=
2/7
$$\frac{2}{7}$$
product
2/7
$$\frac{2}{7}$$
=
2/7
$$\frac{2}{7}$$
2/7
The graph