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X2=5X-6/2.5
We move all terms to the left:
X2-(5X-6/2.5)=0
We add all the numbers together, and all the variables
X2-(+5X-6/2.5)=0
We add all the numbers together, and all the variables
X^2-(+5X-6/2.5)=0
We get rid of parentheses
X^2-5X+6/2.5=0
We multiply all the terms by the denominator
X^2*2.5-5X*2.5+6=0
Wy multiply elements
2.5X^2-12.5X+6=0
a = 2.5; b = -12.5; c = +6;
Δ = b2-4ac
Δ = -12.52-4·2.5·6
Δ = 96.25
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{-(-12.5)-\sqrt{96.25}}{2*2.5}=\frac{12.5-\sqrt{96.25}}{5} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12.5)+\sqrt{96.25}}{2*2.5}=\frac{12.5+\sqrt{96.25}}{5} $
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