Question

Solve y^3=125, where y is a real number.

Simplify your answer as much as possible.

If there is more than one solution, separate them with commas.

If there is no solution, click on "No solution".


30 POINTS

Answer 1

There are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.

How to find one solution of equation?

If the equation is given a unique and single value of variable after solving, then the equation is said one solution equation. Such equation gives exactly one solution.

The three solution of an equation are-

• One solution- When the graph provides the single value of the given variable, we get one or unique solution.
• No solution- When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.
• Infinite many solution-For the same line, the equation has the infinite many solution.

The expression for y is given as,

y³=125

Here, y is a real number. equate the equation to zero,

y³-125=0

y³-5³=0

Use the formula of difference of two perfect cube as,

(y-5)(y²+5y+25)=0

The values of y we get after solving the equation as,

y=5, 2.5-4.3301i, 2.5+4.3301i

Thus, there are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.

Learn more about the solution of the equation here;

https://brainly.com/question/21283540

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