Mathematics, 12.10.2019 20:30 amunson40
4xsquared - 9=0? could anyone me solve this quadratic equation by factoring?
Answers: 1
![\bf \textit{difference of squares} \\ \quad \\ (a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b)\\\\ -------------------------------\\\\ 4x^2-9=0\implies 2^2x^2-3^2=0\implies (2x)^2-3^2=0 \\\\\\\ [(2x)-3][(2x)+3]=0\implies \begin{cases} 2x-3=0\\ 2x=3\\ x=\frac{3}{2}\\ ------\\ 2x+3=0\\ 2x=-3\\ x=-\frac{3}{2} \end{cases}](/tpl/images/0314/0010/717c1.png)
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4xsquared - 9=0? could anyone me solve this quadratic equation by factoring?...
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