Solve the equation by extracting the square roots. when a solution is irrational, list both the exact solution and its approximation rounded to two decimal places.

The polynomial that is given here in which the goal is to find out the roots of the equation is x2 = 196 where x is the root of the equation. we transform the given equation into its standard form that is x^2 - 196 = y in which y should be equal to 0 in order to get x.

In this case,

x^2 - 196 = 0

x^2 = 196

we take the square root of both sides in order to extract x

square root x^2 = square root 196

x = + - 14

there are two roots in this function which are positive and negative numbers.

square of a positive number leads to a positive number while the square of a negative number also yields to a positive number.