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99=1+x2
We move all terms to the left:
99-(1+x2)=0
We add all the numbers together, and all the variables
-(+x^2+1)+99=0
We get rid of parentheses
-x^2-1+99=0
We add all the numbers together, and all the variables
-1x^2+98=0
a = -1; b = 0; c = +98;
Δ = b2-4ac
Δ = 02-4·(-1)·98
Δ = 392
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{392}=\sqrt{196*2}=\sqrt{196}*\sqrt{2}=14\sqrt{2}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{2}}{2*-1}=\frac{0-14\sqrt{2}}{-2} =-\frac{14\sqrt{2}}{-2} =-\frac{7\sqrt{2}}{-1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{2}}{2*-1}=\frac{0+14\sqrt{2}}{-2} =\frac{14\sqrt{2}}{-2} =\frac{7\sqrt{2}}{-1} $
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