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-7x^2+21x+126=0
a = -7; b = 21; c = +126;
Δ = b2-4ac
Δ = 212-4·(-7)·126
Δ = 3969
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{3969}=63$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-63}{2*-7}=\frac{-84}{-14} =+6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+63}{2*-7}=\frac{42}{-14} =-3 $
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