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(sqrt(85)+2x-)=9 equation

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You have entered [src]

  ____          
\/ 85  + 2*x = 9

$$2 x + \sqrt{85} = 9$$

Simplify

Detail solution

Given the linear equation:

(sqrt(85)+2*x) = 9

Expand brackets in the left part

sqrt+85+2*x) = 9

Divide both parts of the equation by (sqrt(85) + 2*x)/x

x = 9 / ((sqrt(85) + 2*x)/x)

We get the answer: x = 9/2 - sqrt(85)/2

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Sum and product of roots [src]

sum

      ____
9   \/ 85 
- - ------
2     2

$$\frac{9}{2} - \frac{\sqrt{85}}{2}$$

      ____
9   \/ 85 
- - ------
2     2

$$\frac{9}{2} - \frac{\sqrt{85}}{2}$$

product

      ____
9   \/ 85 
- - ------
2     2

$$\frac{9}{2} - \frac{\sqrt{85}}{2}$$

      ____
9   \/ 85 
- - ------
2     2

$$\frac{9}{2} - \frac{\sqrt{85}}{2}$$

9/2 - sqrt(85)/2

Rapid solution [src]

           ____
     9   \/ 85 
x1 = - - ------
     2     2

$$x_{1} = \frac{9}{2} - \frac{\sqrt{85}}{2}$$

x1 = 9/2 - sqrt(85)/2

Numerical answer [src]

x1 = -0.109772228646444

x1 = -0.109772228646444