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4x^2-56x+75=0
a = 4; b = -56; c = +75;
Δ = b2-4ac
Δ = -562-4·4·75
Δ = 1936
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{1936}=44$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-44}{2*4}=\frac{12}{8} =1+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+44}{2*4}=\frac{100}{8} =12+1/2 $
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