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7x^2-84x+245=0
a = 7; b = -84; c = +245;
Δ = b2-4ac
Δ = -842-4·7·245
Δ = 196
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{196}=14$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-84)-14}{2*7}=\frac{70}{14} =5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-84)+14}{2*7}=\frac{98}{14} =7 $
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