C. No Solution
<u>Explanation</u>
<u></u>
The above equation has no solution as the value of x is always mod x which means the value is always positive. Hence to make the equation true, we need value of mod x less than -4 which is not possible. Hence this equation as no solution.

Since, |x| can never be < -4 because value of |x| is always greater than or equal to, Hence this equation has no solution.
Hello!
I believe the answers are:
A) The vertex is (1, −6)
C) The graph has a minimum.
I hope it helps!
Step-by-step explanation:
sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =
sqrt(5x × 8x²) - 2×sqrt(5x × x) =
sqrt(40x) × x - 2x × sqrt(5) =
2x×sqrt(10x) - 2x×sqrt(5)
therefore, the last option is correct.