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  • 10-07-2014
  • Mathematics
Answered

Solve for x: 25x2 − 36 = 0


Verified Answer :

Scryt
Scryt Scryt
  • 11-07-2014

\(25x^2-36=0\)

\(25x^2=36\)

\(x^2=\frac{36}{25}\)

\(x=\sqrt{\frac{36}{25}}\)  \(or\)  \(x=-\sqrt{\frac{36}{25}}\)

\(x=\frac{\sqrt{36}}{\sqrt{25}}\)  \(or\)   \(x=-\frac{\sqrt{36}}{\sqrt{25}}\)

\(x=\frac{6}{5}\) or \(x=-\frac{6}{5}\)

\(x=1\frac{1}{5}\) or \(x=-1\frac{1}{5}\)

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Lilith
Lilith Lilith
  • 11-07-2014

\(25x^2-36 = 0 \\\\(5x)^2-6^2=0\\ \\(5x-6)(5x+6)=0\\ \\5x-6=0 \ \ or \ \ 5x+6=0\\ \\5x=6 \ \ or \ \ x=-6\\ \\x=\frac{6}{5} \ \ or \ \ x=-\frac{6}{5} \\ \\ \\ a^2-b^2 =(a-b)(a+b)\)

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