Now take the square roots of both sides of the equation.
Thus, the roots of a pure quadratic equation written in general form ax2 + c = 0 are
x = +
and x = -
Find the roots of the following pure quadratic equation.
4x2 - 100 = 0
Using Equation 2-3, substitute the values of c and a and solve for x.
x = ± 25
x = ±5
Thus, the roots are x = 5 and x = -5.