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-21x^2+44x-15=0
a = -21; b = 44; c = -15;
Δ = b2-4ac
Δ = 442-4·(-21)·(-15)
Δ = 676
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{676}=26$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-26}{2*-21}=\frac{-70}{-42} =1+2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+26}{2*-21}=\frac{-18}{-42} =3/7 $
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