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arccos(sqrt(15)/4)=x equation

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Numerical solution:

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The solution

You have entered [src] 
    /  ____\    
    |\/ 15 |    
acos|------| = x
    \  4   /
acos⁡(154)=x\operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)} = x
Simplify
Detail solution
Given the linear equation:
acos(sqrt(15)/4) = x

Expand brackets in the left part
acossqrt/4+15/4) = x

Move the summands with the unknown x
from the right part to the left part:
−x+acos⁡(154)=0- x + \operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)} = 0
Divide both parts of the equation by (-x + acos(sqrt(15)/4))/x
x = 0 / ((-x + acos(sqrt(15)/4))/x)

We get the answer: x = acos(sqrt(15)/4)
The graph
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.0-2020
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
         /  ____\
         |\/ 15 |
x1 = acos|------|
         \  4   /
x1=acos⁡(154)x_{1} = \operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)} 
x1 = acos(sqrt(15)/4)
Sum and product of roots [src] 
sum
    /  ____\
    |\/ 15 |
acos|------|
    \  4   /
acos⁡(154)\operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)} 
=
    /  ____\
    |\/ 15 |
acos|------|
    \  4   /
acos⁡(154)\operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)} 
product
    /  ____\
    |\/ 15 |
acos|------|
    \  4   /
acos⁡(154)\operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)} 
=
    /  ____\
    |\/ 15 |
acos|------|
    \  4   /
acos⁡(154)\operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)} 
acos(sqrt(15)/4)
Numerical answer [src] 
x1 = 0.252680255142079
x1 = 0.252680255142079
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