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X^2+130X=0
a = 1; b = 130; c = 0;
Δ = b2-4ac
Δ = 1302-4·1·0
Δ = 16900
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{16900}=130$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(130)-130}{2*1}=\frac{-260}{2} =-130 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(130)+130}{2*1}=\frac{0}{2} =0 $
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