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x(4.15)x=1.4
We move all terms to the left:
x(4.15)x-(1.4)=0
We add all the numbers together, and all the variables
x(4.15)x-1.4=0
We multiply parentheses
4.15x^2-1.4=0
a = 4.15; b = 0; c = -1.4;
Δ = b2-4ac
Δ = 02-4·4.15·(-1.4)
Δ = 23.24
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{23.24}}{2*4.15}=\frac{0-\sqrt{23.24}}{8.3} =-\frac{\sqrt{}}{8.3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{23.24}}{2*4.15}=\frac{0+\sqrt{23.24}}{8.3} =\frac{\sqrt{}}{8.3} $
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