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0.25h(24+1/8)=60
We move all terms to the left:
0.25h(24+1/8)-(60)=0
We add all the numbers together, and all the variables
0.25h(1/8+24)-60=0
We multiply parentheses
0h^2+0h-60=0
We add all the numbers together, and all the variables
h^2+h-60=0
a = 1; b = 1; c = -60;
Δ = b2-4ac
Δ = 12-4·1·(-60)
Δ = 241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{241}}{2*1}=\frac{-1-\sqrt{241}}{2} $$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{241}}{2*1}=\frac{-1+\sqrt{241}}{2} $
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