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9000x^2-6000x-15000=0
a = 9000; b = -6000; c = -15000;
Δ = b2-4ac
Δ = -60002-4·9000·(-15000)
Δ = 576000000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{576000000}=24000$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6000)-24000}{2*9000}=\frac{-18000}{18000} =-1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6000)+24000}{2*9000}=\frac{30000}{18000} =1+2/3 $
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