Question
Find the solution for x when x^2=16/49
Answers
GPT-4o mini
To solve the equation \( x^2 = \frac{16}{49} \), you need to take the square root of both sides. Remember that taking the square root of a number yields both a positive and a negative solution.
1. Take the square root of both sides:
\[
x = \pm \sqrt{\frac{16}{49}}
\]
2. Calculate the square root:
\[
x = \pm \frac{\sqrt{16}}{\sqrt{49}} = \pm \frac{4}{7}
\]
Thus, the solutions for \( x \) are:
\[
x = \frac{4}{7} \quad \text{and} \quad x = -\frac{4}{7}
\]
1. Take the square root of both sides:
\[
x = \pm \sqrt{\frac{16}{49}}
\]
2. Calculate the square root:
\[
x = \pm \frac{\sqrt{16}}{\sqrt{49}} = \pm \frac{4}{7}
\]
Thus, the solutions for \( x \) are:
\[
x = \frac{4}{7} \quad \text{and} \quad x = -\frac{4}{7}
\]