Question

Solve for x: 25x2 − 36 = 0

Answer 1

$25x^2-36=0$

$25x^2=36$

$x^2=\frac{36}{25}$

$x=\sqrt{\frac{36}{25}}$  $or$  $x=-\sqrt{\frac{36}{25}}$

$x=\frac{\sqrt{36}}{\sqrt{25}}$  $or$   $x=-\frac{\sqrt{36}}{\sqrt{25}}$

$x=\frac{6}{5}$ or $x=-\frac{6}{5}$

$x=1\frac{1}{5}$ or $x=-1\frac{1}{5}$

Answer 2

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