Please help me and answer the question attached.

Step-by-step explanation:

By the Fundamental Theorem of Algebra (in a nutshell), the number of solutions that a quadratic has is equal to its highest exponent which is also the same as the degree of the polynomial. Since our polynomial is a quadratic, is an x-squared polynomial. Therefore, it has 2 solutions. Whether they are real or complex remains to be seen. We have to factor it to find the solutions.

Throw this into the quadratic formula to solve:

x = (8 ± √64 - 4(1)(-4))/2 and

x = (8 ± √72)/2 which simplifies to

x = (8 ± 6√2)/2 which simplifies, finally, to

x = 4 ± 3√2