0.2x(X-5)=70

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Solution for 0.2x(X-5)=70 equation:



0.2x(x-5)=70
We move all terms to the left:
0.2x(x-5)-(70)=0
We multiply parentheses
0x^2+0x-70=0
We add all the numbers together, and all the variables
x^2+x-70=0
a = 1; b = 1; c = -70;
Δ = b2-4ac
Δ = 12-4·1·(-70)
Δ = 281
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)-\sqrt{281}}{2*1}=\frac{-1-\sqrt{281}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{281}}{2*1}=\frac{-1+\sqrt{281}}{2} $

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