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5x^2-1800x+169=0
a = 5; b = -1800; c = +169;
Δ = b2-4ac
Δ = -18002-4·5·169
Δ = 3236620
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3236620}=\sqrt{4*809155}=\sqrt{4}*\sqrt{809155}=2\sqrt{809155}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1800)-2\sqrt{809155}}{2*5}=\frac{1800-2\sqrt{809155}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1800)+2\sqrt{809155}}{2*5}=\frac{1800+2\sqrt{809155}}{10} $
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