Question

4x² - 9 = 0
x = \frac{\pm\sqrt{-4(4)(-9)}}{2(4)}
simplify to find the solutions of the equation.
write both solutions, separated by a comma.
enter the correct answer.
done

Explanation:

Step1: Calculate discriminant

$\sqrt{-4(4)(-9)} = \sqrt{144} = 12$

Step2: Simplify denominator

$2(4) = 8$

Step3: Reduce the fraction

$x = \pm\frac{12}{8} = \pm\frac{3}{2}$

Answer:

$\frac{3}{2}, -\frac{3}{2}$