Final answer:
To solve the equation (x²-7)²+2(x²-7)-8=0, we can use the quadratic formula and rearrange it to a quadratic equation. Then, we can use the quadratic formula x=(-b±√(b²-4ac))/(2a) to find the solutions.
Step-by-step explanation:
To solve the equation (x²-7)²+2(x²-7)-8=0, we can use the quadratic formula. Rearranging the equation, we get x⁴-14x²+49+2x⁴-14x²-14x-8=0. Combining like terms, we have 3x⁴-30x²-14x+41=0. We can then use the quadratic formula x=(-b±√(b²-4ac))/(2a) to find the solutions.