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10.5x^2-60x+10.5=0
a = 10.5; b = -60; c = +10.5;
Δ = b2-4ac
Δ = -602-4·10.5·10.5
Δ = 3159
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3159}=\sqrt{81*39}=\sqrt{81}*\sqrt{39}=9\sqrt{39}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-9\sqrt{39}}{2*10.5}=\frac{60-9\sqrt{39}}{21} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+9\sqrt{39}}{2*10.5}=\frac{60+9\sqrt{39}}{21} $
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