Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x-4)/(x-6)=2
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Equation e^x=2
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Equation x/3+x/4=-21
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Equation x^2+4*x=21
- Express {x} in terms of y where:
- 19*x-3*y=-12
- 17*x-7*y=15
- 14*x+3*y=-4
- 14*x-4*y=14
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Identical expressions
- (x- five)*(x- three)-(x+ one)*(x- four)= six
- (x minus 5) multiply by (x minus 3) minus (x plus 1) multiply by (x minus 4) equally 6
- (x minus five) multiply by (x minus three) minus (x plus one) multiply by (x minus four) equally six
- (x-5)(x-3)-(x+1)(x-4)=6
- x-5x-3-x+1x-4=6
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Similar expressions
- (x-5)*(x-3)+(x+1)*(x-4)=6
- (x-5)*(x+3)-(x+1)*(x-4)=6
- (x-5)*(x-3)-(x+1)*(x+4)=6
- (x-5)*(x-3)-(x-1)*(x-4)=6
- (x+5)*(x-3)-(x+1)*(x-4)=6
(x-5)*(x-3)-(x+1)*(x-4)=6 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
(x - 5)*(x - 3) - (x + 1)*(x - 4) = 6
$$\left(x - 5\right) \left(x - 3\right) - \left(x - 4\right) \left(x + 1\right) = 6$$
Detail solution
Given the equation:
Expand expressions:
Reducing, you get:
Move free summands (without x)
from left part to right part, we given:
$$- 5 x = -13$$
Divide both parts of the equation by -5
We get the answer: x = 13/5
(x-5)*(x-3)-(x+1)*(x-4) = 6
Expand expressions:
15 + x^2 - 8*x - (x + 1)*(x - 4) = 6
15 + x^2 - 8*x + 4 - x^2 + 3*x = 6
Reducing, you get:
13 - 5*x = 0
Move free summands (without x)
from left part to right part, we given:
$$- 5 x = -13$$
Divide both parts of the equation by -5
x = -13 / (-5)
We get the answer: x = 13/5
Sum and product of roots
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sum
13/5
$$\frac{13}{5}$$
=
13/5
$$\frac{13}{5}$$
product
13/5
$$\frac{13}{5}$$
=
13/5
$$\frac{13}{5}$$
13/5