Question

The option that best ansv (x^(2)-4)^(2)+(x^(2)-4)-6=0

Answer 1

To solve the equation
`(x^2-4)^2+(x^2-4)-6=0`, we can simplify the expression inside the parentheses and combine like terms to get a fourth-degree polynomial equation.

Step-by-step explanation:

To solve the equation
`(x2-4)^2+(x^2-4)-6=0`, we can start by simplifying the expression inside the parentheses. Using the exponent rule (a-b)2 = a2 - 2ab + b2, we have
`(x^2-4)^2 = x^4 - 8x^2 + 16`. Substituting this back into the equation gives us
`(x^4 - 8x^2 + 16) + (x^2 - 4) - 6 = 0`. Combining like terms, we get
`x^4 - 7x^2 + x + 6 = 0`. This is a fourth-degree polynomial equation that can be solved using factoring, the quadratic formula, or other methods.

Learn more about Solving polynomial equations