how to solve 30x = 12x^2 + 1

Question

You must end up with an answer of x = (some value). I do not know how to do this when you have a value that is squared.

Answer 1

30x=12x^2+1

12x^2 -30x+1=0

quadratik equashun giv roots=0.03379004 & 2.46620996

-b/2a=1.25, b^2-4ac=852, sqrt(852)=29.189039039, that/2a=1.216209959

Answer 2

Given 30x = 12x^2 + 1
12x^2-30x+1=0

Make a perfect square
48/71(x-5/4)^2=1
(x-5/4)^2=71/48

Square on both side
x-5/4=√(71/48)
x=1/12(15+√213)

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