What is factor (3-x)(24-x)-81 ?

The solution to factor (3-x)(24-x)-81 is (x-(3(sqrt(85)+9))/2)(x+(3(sqrt(85)-9))/2)

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factor (3-x)(24-x)-81

factor

(3 - x) (24 - x) - 81

(x - \frac{3 ( 85 + 9 )}{2}) (x + \frac{3 ( 85 - 9 )}{2})

Solution steps

(3 - x) (24 - x) - 81

Expand

(3 - x) (24 - x) : 72 - 27 x + x^{2}

= 72 - 27 x + x^{2} - 81

Simplify

72 - 27 x + x^{2} - 81 : x^{2} - 27 x - 9

= x^{2} - 27 x - 9

Solve

x^{2} - 27 x - 9 = 0 : x = \frac{27 + 3 85}{2}, x = \frac{27 - 3 85}{2}

Polynom can therefore be factored into

= (x - (\frac{27 + 3 85}{2})) (x - (\frac{27 - 3 85}{2}))

Refine

= (x - \frac{27 + 3 85}{2}) (x - \frac{27 - 3 85}{2})

Factor

27 + 385 : 3 (85 + 9)

= (x - \frac{3 ( 9 + 85 )}{2}) (x - \frac{27 - 3 85}{2})

Factor

27 - 385 : - 3 (85 - 9)

= (x - \frac{3 ( 9 + 85 )}{2}) (x - \frac{- 3 ( 85 - 9 )}{2})

Apply the fraction rule:

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

= (x - \frac{3 ( 9 + 85 )}{2}) (x - (- \frac{3 ( 85 - 9 )}{2}))

Apply rule

- (- a) = a

= (x - \frac{3 ( 85 + 9 )}{2}) (x + \frac{3 ( 85 - 9 )}{2})

ln (\cdot (- e))

(- 2) e^{2}

I n (3 x)

- (4.3)

10 x + x z - 70 y - 7 yz

What is factor (3-x)(24-x)-81 ?
The solution to factor (3-x)(24-x)-81 is (x-(3(sqrt(85)+9))/2)(x+(3(sqrt(85)-9))/2)