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0=14x^2+1400-12600
We move all terms to the left:
0-(14x^2+1400-12600)=0
We add all the numbers together, and all the variables
-(14x^2+1400-12600)=0
We get rid of parentheses
-14x^2-1400+12600=0
We add all the numbers together, and all the variables
-14x^2+11200=0
a = -14; b = 0; c = +11200;
Δ = b2-4ac
Δ = 02-4·(-14)·11200
Δ = 627200
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{627200}=\sqrt{313600*2}=\sqrt{313600}*\sqrt{2}=560\sqrt{2}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-560\sqrt{2}}{2*-14}=\frac{0-560\sqrt{2}}{-28} =-\frac{560\sqrt{2}}{-28} =-\frac{20\sqrt{2}}{-1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+560\sqrt{2}}{2*-14}=\frac{0+560\sqrt{2}}{-28} =\frac{560\sqrt{2}}{-28} =\frac{20\sqrt{2}}{-1} $
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