What is factor x^2-3x-9 ?

The solution to factor x^2-3x-9 is (x-(3(sqrt(5)+1))/2)(x+(3(sqrt(5)-1))/2)

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Factor x^2-3x-9

factor

x^{2} - 3 x - 9

(x - \frac{3 ( 5 + 1 )}{2}) (x + \frac{3 ( 5 - 1 )}{2})

Solution steps

x^{2} - 3 x - 9

Solve

x^{2} - 3 x - 9 = 0 : x = \frac{3 + 3 5}{2}, x = \frac{3 - 3 5}{2}

Polynom can therefore be factored into

= (x - (\frac{3 + 3 5}{2})) (x - (\frac{3 - 3 5}{2}))

Refine

= (x - \frac{3 + 3 5}{2}) (x - \frac{3 - 3 5}{2})

Factor

3 + 35 : 3 (5 + 1)

= (x - \frac{3 ( 1 + 5 )}{2}) (x - \frac{3 - 3 5}{2})

Factor

3 - 35 : - 3 (5 - 1)

= (x - \frac{3 ( 1 + 5 )}{2}) (x - \frac{- 3 ( 5 - 1 )}{2})

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= (x - \frac{3 ( 1 + 5 )}{2}) (x - (- \frac{3 ( 5 - 1 )}{2}))

Apply rule

- (- a) = a

= (x - \frac{3 ( 5 + 1 )}{2}) (x + \frac{3 ( 5 - 1 )}{2})

(- 34) + 12

x^{2} - 3 x - 2 = 0

x^{2} = 27

144 x^{2} + 24 x + 1

What is factor x^2-3x-9 ?
The solution to factor x^2-3x-9 is (x-(3(sqrt(5)+1))/2)(x+(3(sqrt(5)-1))/2)