Question

100x^2-4=0
quick pls with all work

Answer 1

4(5x+1)(5x-1) = 0

1. Take out the GCF (in this case, 4)
4(25x^2-1) = 0

2. This can be further factored. Factor the values within the parenthesis
4(5x + 1)(5x -1) = 0

Answer 2

solving
`100x^2-4=0` we get
`x=(-1)/(5)\:,\:x=(1)/(5)`

Explanation:

We need to solve
`100x^2-4=0`

We know that
`10^2=100 \: and\: 2^2=4`

Replacing with the squares

`100x^2-4=0\\(10x)^2-(2)^2=0`

We can use the formula:
`a^2-b^2=(a+b)(a-b)`

Applying formula

`(10x+2)(10x-2)=0\\10x+2=0\:,\:10x-2=0\\10x=-2\:,\:10x=2\\x=-2/10\:,\:x=2/10\\x=(-1)/(5)\:,\:x=(1)/(5)`

So, solving
`100x^2-4=0` we get
`x=(-1)/(5)\:,\:x=(1)/(5)`