X2-0.6=1.7x

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Solution for X2-0.6=1.7x equation:



X2-0.6=1.7X
We move all terms to the left:
X2-0.6-(1.7X)=0
We add all the numbers together, and all the variables
X2-(+1.7X)-0.6=0
We add all the numbers together, and all the variables
X^2-(+1.7X)-0.6=0
We get rid of parentheses
X^2-1.7X-0.6=0
a = 1; b = -1.7; c = -0.6;
Δ = b2-4ac
Δ = -1.72-4·1·(-0.6)
Δ = 5.29
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{-(-1.7)-\sqrt{5.29}}{2*1}=\frac{1.7-\sqrt{5.29}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.7)+\sqrt{5.29}}{2*1}=\frac{1.7+\sqrt{5.29}}{2} $

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