QuestionFactor the quadratic function $f(x)=4x^{2}-9$ and find the values for $x$ in $x=-\frac{[?]}{2}; x=\frac{3}{[]}$.

Studdy Solution
olving the second equation for x gives$$2x-3=0 \Rightarrow2x=3 \Rightarrow x=\frac{3}{2}$$So, the solutions are $x=-\frac{3}{2}$ and $x=\frac{3}{2}$.
Therefore, the number that belongs in the green box for $x=-\frac{[?]}{2}$ is3 and the number that belongs in the green box for $x=\frac{3}{[]}$ is2.