Question

Create a list of steps, in order, that will solve the following equation: 2(x��-5)=93?

Answer 1

To solve the equation 2(x²-5)=93, divide both sides by 2, add 5 to isolate the quadratic term, simplify, take the square root of both sides, and consider positive and negative roots.

Step-by-step explanation:

Steps to Solve the Equation 2(x²-5)=93

1. Divide both sides of the equation by 2 to isolate the quadratic expression: (x²-5) = 93 / 2.
2. Add 5 to both sides of the equation to further isolate the quadratic term: x² = 93 / 2 + 5.
3. Simplify the right side of the equation and solve for x².
4. Take the square root of both sides of the equation to solve for x, and remember to consider both the positive and negative square roots.
5. Write down the two solutions for x that result from considering both the positive and negative square roots.

Following these steps will yield the solution to the equation. In solving this quadratic equation, students learn the problem-solving strategy and apply mathematical principles to reach the result.