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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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