Question
steps to solve
x^2 = 81/144
x^2 = 81/144
Answers
GPT 3.5
1. Start by writing the equation x^2 = 81/144.
2. Take the square root of both sides of the equation to solve for x. Remember that when you take the square root of x^2, you get both the positive and negative square roots of x. So the equation becomes x = ±√(81/144).
3. Simplify the square root of 81/144. This can be done by first simplifying the fraction 81/144 by dividing both the numerator and denominator by their greatest common factor, which is 9. This results in the fraction 9/16. Therefore, √(81/144) = √(9/16) = √9 / √16 = 3 / 4.
4. Now, remembering that x = ±√(81/144) and √(81/144) = 3/4, substitute this value back into the equation to get x = ±3/4.
5. Therefore, the solutions to the equation x^2 = 81/144 are x = 3/4 and x = -3/4.
2. Take the square root of both sides of the equation to solve for x. Remember that when you take the square root of x^2, you get both the positive and negative square roots of x. So the equation becomes x = ±√(81/144).
3. Simplify the square root of 81/144. This can be done by first simplifying the fraction 81/144 by dividing both the numerator and denominator by their greatest common factor, which is 9. This results in the fraction 9/16. Therefore, √(81/144) = √(9/16) = √9 / √16 = 3 / 4.
4. Now, remembering that x = ±√(81/144) and √(81/144) = 3/4, substitute this value back into the equation to get x = ±3/4.
5. Therefore, the solutions to the equation x^2 = 81/144 are x = 3/4 and x = -3/4.