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15k^2+16k=0
a = 15; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·15·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{256}=16$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*15}=\frac{-32}{30} =-1+1/15 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*15}=\frac{0}{30} =0 $
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