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15x^2+84x-147=0
a = 15; b = 84; c = -147;
Δ = b2-4ac
Δ = 842-4·15·(-147)
Δ = 15876
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{15876}=126$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-126}{2*15}=\frac{-210}{30} =-7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+126}{2*15}=\frac{42}{30} =1+2/5 $
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