Question

solve: 25x2 − 36 = 0. x = 6, 5 x = −6, −5 x = 36 over 25, x = − 36 over 25 x = 6 over 5, x = − 6 over 5

Answer 1

`x=-(6)/(5)\text{ or }x=(6)/(5)`.

Explanation:

We have been given an equation
`25x^2-36=0`. We are asked to solve our given equation.

First of all, we will add 36 on both sides of our equation.

`25x^2-36+36=0+36`

`25x^2=36`

Now, we will divide both sides of our equation by 25.

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

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

Upon taking square root of both sides we will get,

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

`x=\sqrt{(6^2)/(5^2)}`

`x=\pm(6)/(5)`

Therefore, the solution of our given equation are
`x=-(6)/(5)\text{ or }x=(6)/(5)`.

Answer 2

`25 x^(2) =36 \\ x^(2) = (36)/(25) \\ x= \pm \sqrt{ (36)/(25) } \\ x= \pm (6)/(5) \\ x= (6)/(5) \ or \ - (6)/(5)`