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-7n^2+63n=0
a = -7; b = 63; c = 0;
Δ = b2-4ac
Δ = 632-4·(-7)·0
Δ = 3969
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3969}=63$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(63)-63}{2*-7}=\frac{-126}{-14} =+9 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(63)+63}{2*-7}=\frac{0}{-14} =0 $
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