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7k^2+9k=
We move all terms to the left:
7k^2+9k-()=0
We add all the numbers together, and all the variables
7k^2+9k=0
a = 7; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·7·0
Δ = 81
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{81}=9$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*7}=\frac{-18}{14} =-1+2/7 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*7}=\frac{0}{14} =0 $
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