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32*32=2x*2x
We move all terms to the left:
32*32-(2x*2x)=0
We add all the numbers together, and all the variables
-(+2x*2x)+32*32=0
We add all the numbers together, and all the variables
-(+2x*2x)+1024=0
We get rid of parentheses
-2x*2x+1024=0
Wy multiply elements
-4x^2+1024=0
a = -4; b = 0; c = +1024;
Δ = b2-4ac
Δ = 02-4·(-4)·1024
Δ = 16384
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{16384}=128$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-128}{2*-4}=\frac{-128}{-8} =+16 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+128}{2*-4}=\frac{128}{-8} =-16 $
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