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8x^2-15x+3=0
a = 8; b = -15; c = +3;
Δ = b2-4ac
Δ = -152-4·8·3
Δ = 129
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-\sqrt{129}}{2*8}=\frac{15-\sqrt{129}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{129}}{2*8}=\frac{15+\sqrt{129}}{16} $
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