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x^2-6x+9=0

x^2-6x+9=0 equation

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Numerical solution:

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The solution

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x  - 6*x + 9 = 0
x2−6x+9=0x^{2} - 6 x + 9 = 0
Simplify
Detail solution
This equation is of the form
a*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 = b^2 - 4*a*c - it is the discriminant.
Because
a=1a = 1
b=−6b = -6
c=9c = 9
, then
D = b^2 - 4 * a * c = 

(-6)^2 - 4 * (1) * (9) = 0

Because D = 0, then the equation has one root.
x = -b/2a = --6/2/(1)

x1=3x_{1} = 3
Vieta's Theorem
it is reduced quadratic equation
px+q+x2=0p x + q + x^{2} = 0
where
p=bap = \frac{b}{a}
p=−6p = -6
q=caq = \frac{c}{a}
q=9q = 9
Vieta Formulas
x1+x2=−px_{1} + x_{2} = - p
x1x2=qx_{1} x_{2} = q
x1+x2=6x_{1} + x_{2} = 6
x1x2=9x_{1} x_{2} = 9
The graph
-10.0-7.5-5.0-2.50.02.55.07.510.012.515.017.50200
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 3
x1=3x_{1} = 3
Simplify
Sum and product of roots [src] 
sum
0 + 3
0+30 + 3 
=
3
33 
product
1*3
1⋅31 \cdot 3 
=
3
33 
3
Numerical answer [src] 
x1 = 3.0
x1 = 3.0
The graph
x^2-6x+9=0 equation
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