Final answer:
To find the roots of the equation, we can use the quadratic formula x = (-b ± √(b² - 4ac)) / (2a). Plugging in the values from the given equation x⁴+x³-8x²-9x-9=0, we can solve for the roots of the equation.
Step-by-step explanation:
This is an equation of the form ax² + bx + c = 0, which is a quadratic equation. To find the roots of this equation, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation x³+x³-8x²-9x-9=0, the coefficients are a = 1, b = 1, and c = -9. Plugging these values into the quadratic formula, we get:
x = (-1 ± √(1² - 4(1)(-9))) / (2(1))
Simplifying this expression further will give us the exact roots of the equation.