0=x^2-17x-90

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Solution for 0=x^2-17x-90 equation:



0=x^2-17x-90
We move all terms to the left:
0-(x^2-17x-90)=0
We add all the numbers together, and all the variables
-(x^2-17x-90)=0
We get rid of parentheses
-x^2+17x+90=0
We add all the numbers together, and all the variables
-1x^2+17x+90=0
a = -1; b = 17; c = +90;
Δ = b2-4ac
Δ = 172-4·(-1)·90
Δ = 649
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-\sqrt{649}}{2*-1}=\frac{-17-\sqrt{649}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{649}}{2*-1}=\frac{-17+\sqrt{649}}{-2} $

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