Question

x^3-x=x^2+2
find quadratic equation​

Answer 1

Step-by-step explanation:

Move all terms to one side.

x ^3  −x − x^2  −2 = 0

Factor x ^3  −x − x^2  −2=0 using Polynomial Division.

(x^2+x+1)(x-2) = 0

Solve for x.

x=2

Use the Quadratic Formula.

x = -1 + ​√3/2, -1-√3/2

Collect all solutions from the previous steps.

x=2,-1 + ​√3/2, -1-√3/2

Answer 2

Answer:

Step-by-step explanation:

x³ - x = x² + 2

x³ - x - x ² - 2 = 0 (∵ transposing )

x³ - x² - x - 2 = 0

x ( x² - x - 1 - 2 ) = 0

x² - x - 3 = 0 is required quadratic equation.