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0=x^2-6x-187
We move all terms to the left:
0-(x^2-6x-187)=0
We add all the numbers together, and all the variables
-(x^2-6x-187)=0
We get rid of parentheses
-x^2+6x+187=0
We add all the numbers together, and all the variables
-1x^2+6x+187=0
a = -1; b = 6; c = +187;
Δ = b2-4ac
Δ = 62-4·(-1)·187
Δ = 784
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{784}=28$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-28}{2*-1}=\frac{-34}{-2} =+17 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+28}{2*-1}=\frac{22}{-2} =-11 $
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