Question

How would you solve the following quadratic equation using square roots: x² = 324?

a) x = √324
b) x = -√324
c) x = ±√324
d) x = ±18

Answer 1

The quadratic equation x² = 324 is solved by taking the square root of both sides, resulting in two solutions: x = 18 and x = -18. Thus, the correct answer is x = ± 18.

Step-by-step explanation:

To solve the quadratic equation x² = 324 using square roots, you proceed by taking the square root of both sides of the equation. When you take the square root of a number, you get two values: one positive and one negative, because both of these squared will give you the original number. Therefore, the solution to the equation x² = 324 is x = ±√324.

Breaking it down further, we calculate the square root of 324, which is 18, to get the numerical answer. So, x = ±√324 simplifies to x = ± 18. This means that there are two solutions to this quadratic equation: x = 18 and x = -18.To solve the quadratic equation x² = 324 using square roots, we take the square root of both sides of the equation:

x = ±√324

Simplifying the square root of 324, we have:

x = ±18

Therefore, the correct answer is (d) x = ±18.