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0=x2+5x-25
We move all terms to the left:
0-(x2+5x-25)=0
We add all the numbers together, and all the variables
-(+x^2+5x-25)+0=0
We add all the numbers together, and all the variables
-(+x^2+5x-25)=0
We get rid of parentheses
-x^2-5x+25=0
We add all the numbers together, and all the variables
-1x^2-5x+25=0
a = -1; b = -5; c = +25;
Δ = b2-4ac
Δ = -52-4·(-1)·25
Δ = 125
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{125}=\sqrt{25*5}=\sqrt{25}*\sqrt{5}=5\sqrt{5}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5\sqrt{5}}{2*-1}=\frac{5-5\sqrt{5}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5\sqrt{5}}{2*-1}=\frac{5+5\sqrt{5}}{-2} $
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