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144-73x+4x^2=0
a = 4; b = -73; c = +144;
Δ = b2-4ac
Δ = -732-4·4·144
Δ = 3025
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{3025}=55$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-73)-55}{2*4}=\frac{18}{8} =2+1/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+55}{2*4}=\frac{128}{8} =16 $
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