Question

The given equation involves a power of the variable. Find the real solution of the equation. (If there is no real solution, enter NO REAL SOLUTION.)

3=1.6S ⁷/8


A) S=1.318
B) S=2.415
C) S=0.778
D) S=0.764

Answer 1

To find the real solution of the equation 3=1.6S^(7/8), divide both sides by 1.6, take the eighth root of both sides, and solve for S. The real solution is S=0.778.

Step-by-step explanation:

To find the real solution of the equation 3 = 1.6S^(7/8), we need to isolate the variable S. We can start by dividing both sides of the equation by 1.6 to get S^(7/8) = 3/1.6. Then, we can take the eighth root of both sides to undo the exponent and find the value of S. The eighth root of 3/1.6 is approximately 0.778, so the real solution of the equation is S = 0.778.