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73=33x^2
We move all terms to the left:
73-(33x^2)=0
a = -33; b = 0; c = +73;
Δ = b2-4ac
Δ = 02-4·(-33)·73
Δ = 9636
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{9636}=\sqrt{4*2409}=\sqrt{4}*\sqrt{2409}=2\sqrt{2409}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{2409}}{2*-33}=\frac{0-2\sqrt{2409}}{-66} =-\frac{2\sqrt{2409}}{-66} =-\frac{\sqrt{2409}}{-33} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{2409}}{2*-33}=\frac{0+2\sqrt{2409}}{-66} =\frac{2\sqrt{2409}}{-66} =\frac{\sqrt{2409}}{-33} $
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