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(0.4x+6.1)x=-5
We move all terms to the left:
(0.4x+6.1)x-(-5)=0
We add all the numbers together, and all the variables
(0.4x+6.1)x+5=0
We multiply parentheses
0x^2+6.1x+5=0
We add all the numbers together, and all the variables
x^2+6.1x+5=0
a = 1; b = 6.1; c = +5;
Δ = b2-4ac
Δ = 6.12-4·1·5
Δ = 17.21
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{-(6.1)-\sqrt{17.21}}{2*1}=\frac{-6.1-\sqrt{17.21}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6.1)+\sqrt{17.21}}{2*1}=\frac{-6.1+\sqrt{17.21}}{2} $
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