Question
show all the steps it took to get your answer in detail.
what is the solution of the equation?
2 3 over sqrt x+5+7= 15
what is the solution of the equation?
2 3 over sqrt x+5+7= 15
Answers
GPT 3.5
Given equation: 2 3 / sqrt(x + 5) + 7 = 15
1. Subtract 7 from both sides:
2 3 / sqrt(x + 5) = 8
2. Multiply both sides by sqrt(x + 5) to isolate the term:
2 3 = 8 * sqrt(x + 5)
3. Divide both sides by 8 to solve for sqrt(x + 5):
sqrt(x + 5) = 2 3 / 8
4. Square both sides to eliminate the square root:
x + 5 = (2 3 / 8) ^ 2
x + 5 = (2 3)^2 / 8^2
x + 5 = 529 / 64
5. Subtract 5 from both sides to solve for x:
x = 529 / 64 - 5
x = 529 / 64 - 320 / 64
x = 209 / 64
Therefore, the solution to the equation 2 3 / sqrt(x + 5) + 7 = 15 is x = 209 / 64.
1. Subtract 7 from both sides:
2 3 / sqrt(x + 5) = 8
2. Multiply both sides by sqrt(x + 5) to isolate the term:
2 3 = 8 * sqrt(x + 5)
3. Divide both sides by 8 to solve for sqrt(x + 5):
sqrt(x + 5) = 2 3 / 8
4. Square both sides to eliminate the square root:
x + 5 = (2 3 / 8) ^ 2
x + 5 = (2 3)^2 / 8^2
x + 5 = 529 / 64
5. Subtract 5 from both sides to solve for x:
x = 529 / 64 - 5
x = 529 / 64 - 320 / 64
x = 209 / 64
Therefore, the solution to the equation 2 3 / sqrt(x + 5) + 7 = 15 is x = 209 / 64.