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5x*8x=51.9
We move all terms to the left:
5x*8x-(51.9)=0
We add all the numbers together, and all the variables
5x*8x-51.9=0
Wy multiply elements
40x^2-51.9=0
a = 40; b = 0; c = -51.9;
Δ = b2-4ac
Δ = 02-4·40·(-51.9)
Δ = 8304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{8304}=\sqrt{16*519}=\sqrt{16}*\sqrt{519}=4\sqrt{519}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{519}}{2*40}=\frac{0-4\sqrt{519}}{80} =-\frac{4\sqrt{519}}{80} =-\frac{\sqrt{519}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{519}}{2*40}=\frac{0+4\sqrt{519}}{80} =\frac{4\sqrt{519}}{80} =\frac{\sqrt{519}}{20} $
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