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(1/2)8h=58
We move all terms to the left:
(1/2)8h-(58)=0
Domain of the equation: 2)8h!=0We add all the numbers together, and all the variables
h!=0/1
h!=0
h∈R
(+1/2)8h-58=0
We multiply parentheses
8h^2-58=0
a = 8; b = 0; c = -58;
Δ = b2-4ac
Δ = 02-4·8·(-58)
Δ = 1856
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}$$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1856}=\sqrt{64*29}=\sqrt{64}*\sqrt{29}=8\sqrt{29}$$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{29}}{2*8}=\frac{0-8\sqrt{29}}{16} =-\frac{8\sqrt{29}}{16} =-\frac{\sqrt{29}}{2} $$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{29}}{2*8}=\frac{0+8\sqrt{29}}{16} =\frac{8\sqrt{29}}{16} =\frac{\sqrt{29}}{2} $
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