x*x-49x+36=0

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Solution for x*x-49x+36=0 equation:



x*x-49x+36=0
We add all the numbers together, and all the variables
-49x+x*x+36=0
Wy multiply elements
x^2-49x+36=0
a = 1; b = -49; c = +36;
Δ = b2-4ac
Δ = -492-4·1·36
Δ = 2257
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{-(-49)-\sqrt{2257}}{2*1}=\frac{49-\sqrt{2257}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+\sqrt{2257}}{2*1}=\frac{49+\sqrt{2257}}{2} $

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