Use inspection to solve the equation x2=196
, then select the correct solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)
Responses
There are no real solutions.
There are no real solutions.
{14}
left brace 14 right brace
{−14,14}
left brace negative 14 comma 14 right brace
{−14}
{−14,14}
To solve the equation x^2 = 196 using inspection, we need to find the value of x that satisfies the equation. To do this, we can take the square root of both sides of the equation. However, when taking the square root, we have to consider both the positive and negative root because squaring a negative number also gives a positive value.
So, taking the square root of both sides, we get:
x = ±√196
The square root of 196 is 14, so we have:
x = ±14
Therefore, the correct solution set is {−14, 14}, which means that the equation has two solutions: -14 and 14.
To solve the equation x^2 = 196 using inspection, we can find the values of x that when squared give us 196.
Taking the square root of both sides, we get:
x = ±14.
Therefore, the correct solution set is {−14, 14}.