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

Question

Mathematics

Mercedes Shelton

3 February, 07:26

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

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Answers (1)

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Elyse Norman · 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