Question

PLEASE HELP ME

Solve the equation using inverse operations. Check your solutions. In you final answer, include all of your work
-X²= - 36
On a chapter test, Stephanie uses the rules of equation solving and inverse operations to solve the cubic equation below. The directions on the test are not very specific; however, they do say to give an exact solution. Stephanie is not sure if she should submit a decimal approximation or a simplified radical as the answer.
4x³=756
What recommendation can you make to Stephanie regarding her answer to the cubic equation above? In your recommendation, explain what the term "exact" indicates with regards to the solution.
Solve the cubic equation from Stephanie’s test. Submit two solutions for the equation- a) your answer as a decimal approximation, rounded to the nearest hundredth, and b) as a simplified radical. Use substitution to check each version of your solution in the original equation.
After solving the test question and checking both the decimal solution and the simplified radical form, would you change your recommendation (in Part 1) to Stephanie regarding the format of her answer? Use complete sentences to explain your reasoning.

Answer 1

Answer to the question is -6

Answer 2

Answer: The answer is -6.

Explanation:

The first step in solving -X²= - 36 is to simplify the expression. Then, divide both sides by the same factor. You'll get X² - 36 = 0.

After that, you need to use the quadratic formula. Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. a=1, b=0, and c=-36.

Finally, you need to simplify the expression. First, evaluate the exponent. Then multiply the numbers. After that, Add the numbers and evaluate the square root. Add zero, and then multiply the numbers again. You get +12/2, which simplifies into X = 6. Add the negative, and you get X = -6.

I hope it helped! :)