Question

Find the root(s) of the equation x2 = 169? A) x = ±13 B) x = ± 13 C) x = 13 D) x = 13

Answer 1

Answer:

We have this equation:

$x^2 = 169$

What we do is a square root on both sides, so we get:

$\sqrt{x^2}=\sqrt{169}$

$x = \sqrt{169}$

And now, we calculate the square root, remember tehre are always two results when the root index is even:

$\bold{x_1 = 13}$

$\bold{x_2 = -13}$

As 13 * 13 = (-13)*(-13)

Answer 2

Answer:

I guess both A and B since they have the same exact answer: ±13

Step-by-step explanation:

The square root of any positive number is both the positive (+) version of the root and the negative (-) version of the root.

169 is a perfect square and its positive square root is 13, but you must also include its negative square root, -13, so the roots of this equation are ±13.

That means both answer choices A and B are correct, since they are exactly the same.