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(6.5+x)x1.06=16.43
We move all terms to the left:
(6.5+x)x1.06-(16.43)=0
We add all the numbers together, and all the variables
(x+6.5)x1.06-(16.43)=0
We add all the numbers together, and all the variables
(x+6.5)x1.06-16.43=0
We multiply parentheses
x^2+6.5x-16.43=0
a = 1; b = 6.5; c = -16.43;
Δ = b2-4ac
Δ = 6.52-4·1·(-16.43)
Δ = 107.97
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{-(6.5)-\sqrt{107.97}}{2*1}=\frac{-6.5-\sqrt{107.97}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6.5)+\sqrt{107.97}}{2*1}=\frac{-6.5+\sqrt{107.97}}{2} $
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