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5k^2-75k+280=0
a = 5; b = -75; c = +280;
Δ = b2-4ac
Δ = -752-4·5·280
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{25}=5$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-5}{2*5}=\frac{70}{10} =7 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+5}{2*5}=\frac{80}{10} =8 $
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