144=4x*x

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Solution for 144=4x*x equation:



144=4x*x
We move all terms to the left:
144-(4x*x)=0
We add all the numbers together, and all the variables
-(+4x*x)+144=0
We get rid of parentheses
-4x*x+144=0
Wy multiply elements
-4x^2+144=0
a = -4; b = 0; c = +144;
Δ = b2-4ac
Δ = 02-4·(-4)·144
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*-4}=\frac{-48}{-8} =+6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*-4}=\frac{48}{-8} =-6 $

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