Question

Solve for x: 25x2 − 36 = 0

Answer 1

`25x^2-36=0`


`25x^2=36`


`x^2=(36)/(25)`


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


`x=(√(36))/(√(25))`
`or`
`x=-(√(36))/(√(25))`


`x=(6)/(5)` or
`x=-(6)/(5)`


`x=1(1)/(5)` or
`x=-1(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=(6)/(5) \ \ or \ \ x=-(6)/(5) \\ \\ \\ a^2-b^2 =(a-b)(a+b)`