Question

Solve for 25x2 + 9 = 30x

Answer 1

Answer:
`x=(3)/(5)`

Explanation:

Move all terms to one side.

`25x^2+9-30x=0`

Rewrite
`25x^2+9-30x` in the form
`a^2-2ab+b^2`, where
`a=5x` and
`b=3`

`(5x)^2-2(5x)(3)+3^2=0`

Use the Square of Difference:
`(a-b)^2=a^2-2ab+b^2`

`(5x-3)^2=0`

Take the square root of both sides.

5x-3=0

Add 3 to both sides.

5x=3

Divide both sides by 5.

x= 3/5