Answer
$x=-\frac{\sqrt {1807}}{2},\frac{\sqrt {1807}}{2}$
Work Step by Step
When taking the square root of a number, you get a positive and a negative answer.
$4x^2-43=1764$
$4x^2=1807$
$x^2=\frac{1807}{4}$
$x=-\frac{\sqrt {1807}}{2},\frac{\sqrt {1807}}{2}$