Question

What are the roots of the polynomial equation x cubed minus 5 x + 5 = 2 x squared minus 5? Use a graphing calculator and a system of equations. Round noninteger roots to the nearest hundredth.
–3, –5
–2.24, –2, 2.24
–2.24, 2, 2.24
3, 5

Answer 1

Answer:

c

Step-by-step explanation:

–2.24, 2, 2.24

Answer 2

The solution to the equation of the polynomial function $x^3 - 5x + 5 = 2x^2 - 5$ is (c) –2.24, 2, 2.24

How to determine the roots of the polynomial?

The function is given as:

$x^3 - 5x + 5 = 2x^2 - 5$

Split the function.

So, we have:

$y = x^3 - 5x + 5$

$y = 2x^2 - 5$

Using a graphing calculator, we have the x coordinate at the point o intersection of both equations to be

x = –2.24, 2, 2.24

Hence, the solution to the equation is (c) –2.24, 2, 2.24

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