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x^2-12x+36=0

x^2-12x+36=0 equation

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Numerical solution:

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The solution

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x  - 12*x + 36 = 0
x2−12x+36=0x^{2} - 12 x + 36 = 0
Simplify
Detail solution
This equation is of the form
a x2+b x+c=0a\ x^2 + b\ x + c = 0
A quadratic equation can be solved using the discriminant
The roots of the quadratic equation:
x1=D−b2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=−D−b2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
where D=b2−4acD = b^2 - 4 a c is the discriminant.
Because
a=1a = 1
b=−12b = -12
c=36c = 36
, then
D=b2−4 a c=D = b^2 - 4\ a\ c =
(−1)1⋅4⋅36+(−12)2=0\left(-1\right) 1 \cdot 4 \cdot 36 + \left(-12\right)^{2} = 0
Because D = 0, then the equation has one root.
x = -b/2a = --12/2/(1)

x1=6x_{1} = 6
Vieta's Theorem
it is reduced quadratic equation
px+x2+q=0p x + x^{2} + q = 0
where
p=bap = \frac{b}{a}
p=−12p = -12
q=caq = \frac{c}{a}
q=36q = 36
Vieta Formulas
x1+x2=−px_{1} + x_{2} = - p
x1x2=qx_{1} x_{2} = q
x1+x2=12x_{1} + x_{2} = 12
x1x2=36x_{1} x_{2} = 36
The graph
-5.0-2.50.02.55.07.510.012.515.017.520.022.50100
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x_1 = 6
x1=6x_{1} = 6
Simplify
Sum and product of roots [src] 
sum
6
(6)\left(6\right) 
=
6
66
Simplify 
product
6
(6)\left(6\right) 
=
6
66
Simplify
Numerical answer [src] 
x1 = 6.0
x1 = 6.0
The graph
x^2-12x+36=0 equation
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