Mister Exam

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400/x=1,3 equation

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You have entered [src]

400   13
--- = --
 x    10

$$\frac{400}{x} = \frac{13}{10}$$

Simplify

Detail solution

Given the equation:
$$\frac{400}{x} = \frac{13}{10}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case

a1 = 1

b1 = -10/13

a2 = 1

b2 = -x/400

so we get the equation
$$- \frac{x}{400} = - \frac{10}{13}$$
$$- \frac{x}{400} = - \frac{10}{13}$$
Divide both parts of the equation by -1/400

x = -10/13 / (-1/400)

We get the answer: x = 4000/13

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

     4000
x1 = ----
      13

$$x_{1} = \frac{4000}{13}$$

x1 = 4000/13

Sum and product of roots [src]

sum

4000
----
 13

$$\frac{4000}{13}$$

4000
----
 13

$$\frac{4000}{13}$$

product

4000
----
 13

$$\frac{4000}{13}$$

4000
----
 13

$$\frac{4000}{13}$$

4000/13

Numerical answer [src]

x1 = 307.692307692308

x1 = 307.692307692308