Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation sin(x)=√3/2
-
Equation sin(x)=-3/2
-
Equation 8x-15=-12+5x
-
Equation 5*x=12
- Express {x} in terms of y where:
- 17*x+2*y=-3
- -10*x-6*y=7
- 11*x-19*y=-18
- -6*x+4*y=-14
-
Identical expressions
- seventeen / six :(x+ two hundred and seventeen / thirty)* thirteen / seven = four = five / seven
- 17 divide by 6:(x plus 217 divide by 30) multiply by 13 divide by 7 equally 4 equally 5 divide by 7
- seventeen divide by six :(x plus two hundred and seventeen divide by thirty) multiply by thirteen divide by seven equally four equally five divide by seven
- 17/6:(x+217/30)13/7=4=5/7
- 17/6:x+217/3013/7=4=5/7
- 17 divide by 6:(x+217 divide by 30)*13 divide by 7=4=5 divide by 7
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Similar expressions
- 17/6:(x-217/30)*13/7=4=5/7
17/6:(x+217/30)*13/7=4=5/7 equation
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The solution
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[src]
17
-----------*13
/ 217\
6*|x + ---|
\ 30/
-------------- = 4
7
$$\frac{13 \frac{17}{6 \left(x + \frac{217}{30}\right)}}{7} = 4$$
Detail solution
Given the equation:
$$\frac{13 \frac{17}{6 \left(x + \frac{217}{30}\right)}}{7} = 4$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$\frac{221}{4 \cdot 42} = x + \frac{217}{30}$$
$$\frac{221}{168} = x + \frac{217}{30}$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + \frac{1657}{280}$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = \frac{1657}{280}$$
Divide both parts of the equation by -1
We get the answer: x = -1657/280
$$\frac{13 \frac{17}{6 \left(x + \frac{217}{30}\right)}}{7} = 4$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 221/42
b1 = 217/30 + x
a2 = 1
b2 = 1/4
so we get the equation
$$\frac{221}{4 \cdot 42} = x + \frac{217}{30}$$
$$\frac{221}{168} = x + \frac{217}{30}$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + \frac{1657}{280}$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = \frac{1657}{280}$$
Divide both parts of the equation by -1
x = 1657/280 / (-1)
We get the answer: x = -1657/280
Sum and product of roots
[src]
sum
-1657 ------ 280
$$- \frac{1657}{280}$$
=
-1657 ------ 280
$$- \frac{1657}{280}$$
product
-1657 ------ 280
$$- \frac{1657}{280}$$
=
-1657 ------ 280
$$- \frac{1657}{280}$$
-1657/280