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d-8.4=8.6/15.16.17
We move all terms to the left:
d-8.4-(8.6/15.16.17)=0
We add all the numbers together, and all the variables
d-8.4-(+8.6/15.16.17)=0
We get rid of parentheses
d-8.4-8.6/15.16.17=0
We multiply all the terms by the denominator
d*15.16.17-8.6-(8.4)*15.16.17=0
We add all the numbers together, and all the variables
d*15.16.17-30.24848=0
Wy multiply elements
15d^2-30.24848=0
a = 15; b = 0; c = -30.24848;
Δ = b2-4ac
Δ = 02-4·15·(-30.24848)
Δ = 1814.9088
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{1814.9088}}{2*15}=\frac{0-\sqrt{1814.9088}}{30} =-\frac{\sqrt{}}{30} $$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1814.9088}}{2*15}=\frac{0+\sqrt{1814.9088}}{30} =\frac{\sqrt{}}{30} $
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