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9x^2+3x-270=0
a = 9; b = 3; c = -270;
Δ = b2-4ac
Δ = 32-4·9·(-270)
Δ = 9729
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{9729}=\sqrt{9*1081}=\sqrt{9}*\sqrt{1081}=3\sqrt{1081}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3\sqrt{1081}}{2*9}=\frac{-3-3\sqrt{1081}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3\sqrt{1081}}{2*9}=\frac{-3+3\sqrt{1081}}{18} $
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