Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 17x-8=20x+7
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Equation 2*x^2+6*x+9=
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Equation (x-2)^2=(x-9)^2
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Equation -x=8
- Express {x} in terms of y where:
- 17*x+20*y=-12
- 17*x+16*y=7
- -5*x+6*y=19
- 18*x-14*y=-12
- Integral of d{x}:
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5/2
- Derivative of:
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5/2
- Limit of the function:
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5/2
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Identical expressions
- (x- one)/(4x- one)= five / two
- (x minus 1) divide by (4x minus 1) equally 5 divide by 2
- (x minus one) divide by (4x minus one) equally five divide by two
- x-1/4x-1=5/2
- (x-1) divide by (4x-1)=5 divide by 2
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Similar expressions
- (4x-5)/2=(5+5x)/5
- (x+1)/(4x-1)=5/2
- (x-1)/(4x+1)=5/2
- (x+5)/(x^2-5x)-(x-5)/(2x^2-10x)=(x+25)/(2x^2-50)
(x-1)/(4x-1)=5/2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{x - 1}{4 x - 1} = \frac{5}{2}$$
Multiply the equation sides by the denominator -1 + 4*x
we get:
$$x - 1 = 10 x - \frac{5}{2}$$
Move free summands (without x)
from left part to right part, we given:
$$x = 10 x - \frac{3}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-9\right) x = - \frac{3}{2}$$
Divide both parts of the equation by -9
We get the answer: x = 1/6
$$\frac{x - 1}{4 x - 1} = \frac{5}{2}$$
Multiply the equation sides by the denominator -1 + 4*x
we get:
$$x - 1 = 10 x - \frac{5}{2}$$
Move free summands (without x)
from left part to right part, we given:
$$x = 10 x - \frac{3}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-9\right) x = - \frac{3}{2}$$
Divide both parts of the equation by -9
x = -3/2 / (-9)
We get the answer: x = 1/6
Sum and product of roots
[src]
sum
1/6
$$\frac{1}{6}$$
=
1/6
$$\frac{1}{6}$$
product
1/6
$$\frac{1}{6}$$
=
1/6
$$\frac{1}{6}$$
1/6