Question

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.

Answer 1

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.