Final answer:
The equation x² = 19 is solved by taking the square root of both sides, yielding two solutions: x = √19 and x = -√19.
Step-by-step explanation:
When you are presented with the equation x² = 19, you can apply the square root property to solve for x. The square root property states that if x² = a, then x is equal to the positive and negative square roots of a. Therefore, to solve the equation x² = 19, you take the square root of both sides of the equation. This yields:
x = ±√19
Therefore, the two solutions for the equation x² = 19 are x = √19 and x = -√19, which are approximately x = 4.359 and x = -4.359. It's important to note that we include both the positive and negative roots because squaring either value will result in the original equation x² = 19.