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  • Equation:
  • Equation x^2-7*x+10=0 Equation x^2-7*x+10=0
  • Equation x^2-18=7*x Equation x^2-18=7*x
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  • Express {x} in terms of y where:
  • 17*x-19*y=-12
  • 13*x-1*y=-20
  • -6*x-11*y=-20
  • -15*x+7*y=1
  • Sum of series:
  • 30 30
  • Derivative of:
  • 30
  • 30

  • Identical expressions

  • (x*(three / five)*(seventy-four / twenty-five)+x*(two / five)*(two hundred and eighty-three / one hundred))/((seventy-four / twenty-five)+(two hundred and eighty-three / one hundred))= thirty
  • (x multiply by (3 divide by 5) multiply by (74 divide by 25) plus x multiply by (2 divide by 5) multiply by (283 divide by 100)) divide by ((74 divide by 25) plus (283 divide by 100)) equally 30
  • (x multiply by (three divide by five) multiply by (seventy minus four divide by twenty minus five) plus x multiply by (two divide by five) multiply by (two hundred and eighty minus three divide by one hundred)) divide by ((seventy minus four divide by twenty minus five) plus (two hundred and eighty minus three divide by one hundred)) equally thirty
  • (x(3/5)(74/25)+x(2/5)(283/100))/((74/25)+(283/100))=30
  • x3/574/25+x2/5283/100/74/25+283/100=30
  • (x*(3 divide by 5)*(74 divide by 25)+x*(2 divide by 5)*(283 divide by 100)) divide by ((74 divide by 25)+(283 divide by 100))=30

  • Similar expressions

  • (x*(3/5)*(74/25)+x*(2/5)*(283/100))/((74/25)-(283/100))=30
  • (x*(3/5)*(74/25)-x*(2/5)*(283/100))/((74/25)+(283/100))=30

(x*(3/5)*(74/25)+x*(2/5)*(283/100))/((74/25)+(283/100))=30 equation

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Numerical solution:

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The solution

You have entered [src] 
x*3      x*2         
---*74   ---*283     
 5        5          
------ + -------     
  25       100       
---------------- = 30
    74   283         
    -- + ---         
    25   100
$$\frac{\frac{283 \frac{2 x}{5}}{100} + \frac{74 \frac{3 x}{5}}{25}}{\frac{283}{100} + \frac{74}{25}} = 30$$
Simplify
Detail solution
Given the linear equation:
(x*(3/5)*(74/25)+x*(2/5)*(283/100))/((74/25)+(283/100)) = 30

Expand brackets in the left part
x*+3/574/25+x2/5283/100)/74/25+283/100) = 30

Divide both parts of the equation by 1454/2895
x = 30 / (1454/2895)

We get the answer: x = 43425/727
The graph
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
     43425
x1 = -----
      727
$$x_{1} = \frac{43425}{727}$$ 
x1 = 43425/727
Sum and product of roots [src] 
sum
43425
-----
 727
$$\frac{43425}{727}$$ 
=
43425
-----
 727
$$\frac{43425}{727}$$ 
product
43425
-----
 727
$$\frac{43425}{727}$$ 
=
43425
-----
 727
$$\frac{43425}{727}$$ 
43425/727
Numerical answer [src] 
x1 = 59.7317744154058
x1 = 59.7317744154058
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