Question

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

Answer 1

Answer:

solving $100x^2-4=0$ we get $x=\frac{-1}{5}\:,\:x=\frac{1}{5}$

Step-by-step 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

$(10x+2)(10x-2)=0\\10x+2=0\:,\:10x-2=0\\10x=-2\:,\:10x=2\\x=-2/10\:,\:x=2/10\\x=\frac{-1}{5}\:,\:x=\frac{1}{5}$

So, solving $100x^2-4=0$ we get $x=\frac{-1}{5}\:,\:x=\frac{1}{5}$

Answer 2

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