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1000(30+17x-x^2)=0
We multiply parentheses
-1000x^2+17000x+30000=0
a = -1000; b = 17000; c = +30000;
Δ = b2-4ac
Δ = 170002-4·(-1000)·30000
Δ = 409000000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{409000000}=\sqrt{1000000*409}=\sqrt{1000000}*\sqrt{409}=1000\sqrt{409}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17000)-1000\sqrt{409}}{2*-1000}=\frac{-17000-1000\sqrt{409}}{-2000} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17000)+1000\sqrt{409}}{2*-1000}=\frac{-17000+1000\sqrt{409}}{-2000} $
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