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-5x(-x+26)=122
We move all terms to the left:
-5x(-x+26)-(122)=0
We add all the numbers together, and all the variables
-5x(-1x+26)-122=0
We multiply parentheses
5x^2-130x-122=0
a = 5; b = -130; c = -122;
Δ = b2-4ac
Δ = -1302-4·5·(-122)
Δ = 19340
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{19340}=\sqrt{4*4835}=\sqrt{4}*\sqrt{4835}=2\sqrt{4835}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-130)-2\sqrt{4835}}{2*5}=\frac{130-2\sqrt{4835}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-130)+2\sqrt{4835}}{2*5}=\frac{130+2\sqrt{4835}}{10} $
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