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x2-14x-960000=0
We add all the numbers together, and all the variables
x^2-14x-960000=0
a = 1; b = -14; c = -960000;
Δ = b2-4ac
Δ = -142-4·1·(-960000)
Δ = 3840196
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3840196}=\sqrt{4*960049}=\sqrt{4}*\sqrt{960049}=2\sqrt{960049}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-2\sqrt{960049}}{2*1}=\frac{14-2\sqrt{960049}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+2\sqrt{960049}}{2*1}=\frac{14+2\sqrt{960049}}{2} $
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