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2x^2+15x+6=0
a = 2; b = 15; c = +6;
Δ = b2-4ac
Δ = 152-4·2·6
Δ = 177
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-\sqrt{177}}{2*2}=\frac{-15-\sqrt{177}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{177}}{2*2}=\frac{-15+\sqrt{177}}{4} $
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