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0=x2-6x-7
We move all terms to the left:
0-(x2-6x-7)=0
We add all the numbers together, and all the variables
-(+x^2-6x-7)+0=0
We add all the numbers together, and all the variables
-(+x^2-6x-7)=0
We get rid of parentheses
-x^2+6x+7=0
We add all the numbers together, and all the variables
-1x^2+6x+7=0
a = -1; b = 6; c = +7;
Δ = b2-4ac
Δ = 62-4·(-1)·7
Δ = 64
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{64}=8$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-8}{2*-1}=\frac{-14}{-2} =+7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+8}{2*-1}=\frac{2}{-2} =-1 $
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