Question

show all the steps it took to get your answer.
what is the solution of the equation?
2 3 over sqrt x+5+7= 15

Answer 1

Step 1: Start with the given equation:
2(3)/sqrt(x+5) + 7 = 15

Step 2: Simplify the equation by multiplying 2 and 3 to get 6, resulting in:
6/sqrt(x+5) + 7 = 15

Step 3: Subtract 7 from both sides of the equation to isolate 6/sqrt(x+5) on one side:
6/sqrt(x+5) = 8

Step 4: Multiply both sides of the equation by sqrt(x+5) to eliminate the square root:
6 = 8*sqrt(x+5)

Step 5: Divide both sides of the equation by 8 to solve for sqrt(x+5):
6/8 = sqrt(x+5)

Step 6: Simplify the left side of the equation:
3/4 = sqrt(x+5)

Step 7: Square both sides of the equation to solve for x+5:
(3/4)^2 = x+5
(9/16) = x+5

Step 8: Subtract 5 from both sides to solve for x:
x = (9/16) - 5
x = (9/16) - (80/16)
x = -71/16

Therefore, the solution to the equation is x = -71/16.