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x2+15x=73-3x
We move all terms to the left:
x2+15x-(73-3x)=0
We add all the numbers together, and all the variables
x2+15x-(-3x+73)=0
We add all the numbers together, and all the variables
x^2+15x-(-3x+73)=0
We get rid of parentheses
x^2+15x+3x-73=0
We add all the numbers together, and all the variables
x^2+18x-73=0
a = 1; b = 18; c = -73;
Δ = b2-4ac
Δ = 182-4·1·(-73)
Δ = 616
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{616}=\sqrt{4*154}=\sqrt{4}*\sqrt{154}=2\sqrt{154}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-2\sqrt{154}}{2*1}=\frac{-18-2\sqrt{154}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+2\sqrt{154}}{2*1}=\frac{-18+2\sqrt{154}}{2} $
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