Question

Find all real solutions of the polynomial equation.

-5x³ + 9x² - 2x - 2 = 0

Answer 1

The real solutions of the polynomial equation are;

x = 1 x =
`(√(14 + 2))/(5)` x =
`(- √(14+2) )/(5)`

How do we solve the polynomial expression?

To solve the polynomial expression, lets first factor it and use the quadratic formula;

-5x³ + 9x² - 2x - 2 = 0

−(x−1)(5x²−4x−2) = 0

Create separate equations and solve:

x−1 = 0

x = 1

5x²− 4x - 2 = 0

x = (4±2√14)/10

x = (√14 +2)/5

or x = (-√14 +2)/5

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