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4x^2+84x-43=0
a = 4; b = 84; c = -43;
Δ = b2-4ac
Δ = 842-4·4·(-43)
Δ = 7744
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{7744}=88$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-88}{2*4}=\frac{-172}{8} =-21+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+88}{2*4}=\frac{4}{8} =1/2 $
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