Question

Solve the following quadraticfunction by factoring:f(x) =4x2 - 9

Answer 1

x = +3/2 (&) x = -3/2

Explanation:

Given equation,

→ f(x) = 4x² - 9

Solving the quadratic equation,

→ 4x² - 9

→ (2x + 3)(2x - 3)

→ 2x = -3 (or) 2x = +3

→ x = -3/2 (or) x = 3/2

Hence, the solution is +3/2.

Answer 2

`\begin{gathered} f(x)=4x^2-9 \\ f(x)=(2x+3)(2x-3) \\ (2x+3)(2x-3)=0 \\ 2x+3=0 \\ 2x=-3 \\ x=(-3)/(2) \\ 2x-3=0 \\ 2x=3 \\ x=(3)/(2) \\ Hence \\ The\text{ solution is x=}\pm(3)/(2) \end{gathered}`