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Verified Answer :

nobillionaireNobley

y = x^3 + 5x + 1
y = x

When they are equal
x^3 + 5x + 1 = x
x^3 + 4x + 1 = 0
x(x^2 + 4) = -1

-0.25((-0.25)^2 + 4) = -0.25(0.0625 + 4) = -1.02

Therefore, the equation is equal at approximately x = -0.25

calculista

Answer:

\(x=-0.25\)

Step-by-step explanation:

we have

\(y=x^{3}+5x+1\) -----> equation A

\(y=x\) -----> equation B

Using a graphing tool-----> to resolve the system of equations

Remember that the solution of the system of equations is equal to the intersection point both graphs

see the attached figure

the solution is \(x=-0.25\)

View image calculista

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