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1156=x^2
We move all terms to the left:
1156-(x^2)=0
We add all the numbers together, and all the variables
-1x^2+1156=0
a = -1; b = 0; c = +1156;
Δ = b2-4ac
Δ = 02-4·(-1)·1156
Δ = 4624
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{4624}=68$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-68}{2*-1}=\frac{-68}{-2} =+34 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+68}{2*-1}=\frac{68}{-2} =-34 $
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