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190=r2
We move all terms to the left:
190-(r2)=0
We add all the numbers together, and all the variables
-1r^2+190=0
a = -1; b = 0; c = +190;
Δ = b2-4ac
Δ = 02-4·(-1)·190
Δ = 760
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{760}=\sqrt{4*190}=\sqrt{4}*\sqrt{190}=2\sqrt{190}$$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{190}}{2*-1}=\frac{0-2\sqrt{190}}{-2} =-\frac{2\sqrt{190}}{-2} =-\frac{\sqrt{190}}{-1} $$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{190}}{2*-1}=\frac{0+2\sqrt{190}}{-2} =\frac{2\sqrt{190}}{-2} =\frac{\sqrt{190}}{-1} $
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