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9p^2-70p+49=0
a = 9; b = -70; c = +49;
Δ = b2-4ac
Δ = -702-4·9·49
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3136}=56$$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-56}{2*9}=\frac{14}{18} =7/9 $$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+56}{2*9}=\frac{126}{18} =7 $
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