18h*15.75h=738

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Solution for 18h*15.75h=738 equation:



18h*15.75h=738
We move all terms to the left:
18h*15.75h-(738)=0
Wy multiply elements
270h^2-738=0
a = 270; b = 0; c = -738;
Δ = b2-4ac
Δ = 02-4·270·(-738)
Δ = 797040
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{797040}=\sqrt{1296*615}=\sqrt{1296}*\sqrt{615}=36\sqrt{615}$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36\sqrt{615}}{2*270}=\frac{0-36\sqrt{615}}{540} =-\frac{36\sqrt{615}}{540} =-\frac{\sqrt{615}}{15} $
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36\sqrt{615}}{2*270}=\frac{0+36\sqrt{615}}{540} =\frac{36\sqrt{615}}{540} =\frac{\sqrt{615}}{15} $

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