Question

10 points! Solve the equation. If necessary, round your answer to the nearest tenth.

x² = 196

A) 14
B) -14, 14
C) 98
D) -98, 98

Explain please :D

Answer 1

x²=196
x=⁺₋√196=⁺₋14

We have two solutions: -14 and +14

Answer: B) -14,14

Answer 2

If x² = 196, then we must do the inverse (square root) to find x. However, the square root of any positive number will always be ± (plus or minus).

That means you have to do:

√196 = x
x = ±14. 

We can check this by doing:

14 × 14 = 196
-14 × -14 = 196

Therefore the answer is B) -14, 14.