what are the roots of the polynomial equation $x^{3}-5x + 5=2x^{2}-5$? use a graphing calculator and a…

what are the roots of the polynomial equation $x^{3}-5x + 5=2x^{2}-5$? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth.\n-3, -5\n-2.24, -2, 2.24\n-2.24, 2, 2.24\n3, 5

what are the roots of the polynomial equation $x^{3}-5x + 5=2x^{2}-5$? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth.\n-3, -5\n-2.24, -2, 2.24\n-2.24, 2, 2.24\n3, 5

Answer

Answer:

C. -2.24, 2, 2.24

Explanation:

Step1: Rearrange the equation

[x^{3}-2x^{2}-5x + 10=0] Factor by grouping: (x^{2}(x - 2)-5(x - 2)=0), then ((x^{2}-5)(x - 2)=0).

Step2: Solve for (x) from (x - 2=0)

(x=2)

Step3: Solve for (x) from (x^{2}-5=0)

(x^{2}=5), so (x=\pm\sqrt{5}\approx\pm 2.24)