The cubed root of x+5=3.In solving this I get x=22. Is there another possible solution for x? Can I have this quick? Thank you so much. It is due in about 1 hour. Thanks again
No, I don't believe there's another answer. I think that 22 is the only answer.
Thank you, you are a life saver!!!!!!
To solve the equation, "the cubed root of x+5 equals 3," you need to isolate the variable x.
Step 1: Start by subtracting 5 from both sides of the equation:
Cube root(x + 5) = 3
Cube root(x + 5) - 5 = 3 - 5
Cube root(x + 5) - 5 = -2
Step 2: Cube both sides of the equation to eliminate the cube root:
(cube root(x + 5) - 5)^3 = (-2)^3
(x + 5) - 15(cube root(x + 5)^2) + 75(cube root(x + 5)) - 125 = -8
x + 5 - 15(cube root(x + 5)^2) + 75(cube root(x + 5)) - 125 = -8
Step 3: Simplify the equation further:
x - 15(cube root(x + 5)^2) + 75(cube root(x + 5)) - 120 = -8
Step 4: Move all terms to one side of the equation:
x - 15(cube root(x + 5)^2) + 75(cube root(x + 5)) - 120 + 8 = 0
x - 15(cube root(x + 5)^2) + 75(cube root(x + 5)) - 112 = 0
Step 5: Unfortunately, this equation doesn't simplify easily, and it's challenging to solve analytically. However, you can solve it numerically using graphing software or an online equation solver.
By solving this equation numerically, it is possible to find other potential solutions for x. So, to find out if there are any other solutions, you can enter the equation into a reliable equation solver website or use graphing software like Desmos. These tools will provide you with the accurate solution(s) for x.
Remember, solving equations numerically might take some time, so it's better to use an online solver or a graphing tool to find the solutions efficiently.