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Question

Solve the following equation

aa2−25+2a+5=2a−5

Please give detailed explanation

1 Answer

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Answer: The solution to the equation aa^2 - 25 + 2a + 5 = 2a - 5 is a = ∛5

Explanation:

To solve the equation aa^2 - 25 + 2a + 5 = 2a - 5, let's start by simplifying both sides of the equation.

On the left side, we have aa^2 - 25 + 2a + 5. The terms aa^2 and 2a have the same variable, a, so we can combine them. This gives us a^3 + 2a.

On the right side, we have 2a - 5.

Now, let's bring all the terms to one side of the equation. Subtracting 2a from both sides, we get a^3 - 2a + 2a - 5 = 0.

Simplifying further, we have a^3 - 5 = 0.

To solve for a, we need to isolate a^3. Adding 5 to both sides, we get a^3 = 5.

To find the value of a, we need to take the cube root of both sides. This gives us a = ∛5.

So the solution to the equation aa^2 - 25 + 2a + 5 = 2a - 5 is a = ∛5.

Keep in mind that this solution assumes that the variable a represents a real number. If a represents a complex number, the solution may be different.

Have a good day :)

User Venkatesh G
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