Mister Exam
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- Equation:
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Equation x^2-8x+16=0
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Equation x^4=81
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Equation 12/(x-15)=15/(x-12)
- Express {x} in terms of y where:
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Identical expressions
- twelve /(x- fifteen)= fifteen /(x- twelve)
- 12 divide by (x minus 15) equally 15 divide by (x minus 12)
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- 12/x-15=15/x-12
- 12 divide by (x-15)=15 divide by (x-12)
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Similar expressions
- 12/x-15/x+2=0,5
- 12/(x-15)=15/(x+12)
- 12/(x+15)=15/(x-12)
12/(x-15)=15/(x-12) equation
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The solution
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12 15 ------ = ------ x - 15 x - 12
$$\frac{12}{x - 15} = \frac{15}{x - 12}$$
Detail solution
Given the equation:
$$\frac{12}{x - 15} = \frac{15}{x - 12}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$12 \left(x - 12\right) = 15 \left(x - 15\right)$$
$$12 x - 144 = 15 x - 225$$
Move free summands (without x)
from left part to right part, we given:
$$12 x = 15 x - 81$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = -81$$
Divide both parts of the equation by -3
We get the answer: x = 27
$$\frac{12}{x - 15} = \frac{15}{x - 12}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 12
b1 = -15 + x
a2 = 15
b2 = -12 + x
so we get the equation
$$12 \left(x - 12\right) = 15 \left(x - 15\right)$$
$$12 x - 144 = 15 x - 225$$
Move free summands (without x)
from left part to right part, we given:
$$12 x = 15 x - 81$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = -81$$
Divide both parts of the equation by -3
x = -81 / (-3)
We get the answer: x = 27
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