Answer:
solving [tex]100x^2-4=0[/tex] we get [tex]x=\frac{-1}{5}\:,\:x=\frac{1}{5}[/tex]
Step-by-step explanation:
We need to solve [tex]100x^2-4=0[/tex]
We know that [tex]10^2=100 \: and\: 2^2=4[/tex]
Replacing with the squares
[tex]100x^2-4=0\\(10x)^2-(2)^2=0[/tex]
We can use the formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]
Applying formula
[tex](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}[/tex]
So, solving [tex]100x^2-4=0[/tex] we get [tex]x=\frac{-1}{5}\:,\:x=\frac{1}{5}[/tex]
