Question

A system of equations consists of y = x3 + 5x + 1 and y = x. The equations are equal at approximately x = -0.25, -0.5, 0.5, 0.25

Answer 1

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

Answer 2

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 $x=-0.25$