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19x^2-76=0
a = 19; b = 0; c = -76;
Δ = b2-4ac
Δ = 02-4·19·(-76)
Δ = 5776
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{5776}=76$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-76}{2*19}=\frac{-76}{38} =-2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+76}{2*19}=\frac{76}{38} =2 $
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