What is factor x^2+21x+144/4 ?

The solution to factor x^2+21x+144/4 is (x-(3(sqrt(33)-7))/2)(x+(3(sqrt(33)+7))/2)

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factor x^2+21x+144/4

factor

x^{2} + 21 x + \frac{144}{4}

(x - \frac{3 ( 33 - 7 )}{2}) (x + \frac{3 ( 33 + 7 )}{2})

Solution steps

x^{2} + 21 x + \frac{144}{4}

Solve

x^{2} + 21 x + \frac{144}{4} = 0 : x = \frac{- 21 + 3 33}{2}, x = \frac{- 21 - 3 33}{2}

Polynom can therefore be factored into

= (x - (\frac{- 21 + 3 33}{2})) (x - (\frac{- 21 - 3 33}{2}))

Refine

= (x - \frac{3 33 - 21}{2}) (x - \frac{- 21 - 3 33}{2})

Factor

- 21 + 333 : 3 (33 - 7)

= (x - \frac{3 ( 33 - 7 )}{2}) (x - \frac{- 21 - 3 33}{2})

Factor

- 21 - 333 : - 3 (33 + 7)

= (x - \frac{3 ( 33 - 7 )}{2}) (x - \frac{- 3 ( 7 + 33 )}{2})

Apply the fraction rule:

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

= (x - \frac{3 ( 33 - 7 )}{2}) (x - (- \frac{3 ( 7 + 33 )}{2}))

Apply rule

- (- a) = a

= (x - \frac{3 ( 33 - 7 )}{2}) (x + \frac{3 ( 33 + 7 )}{2})

\frac{( 2 u - 2 )}{( 1 - u )}

e^{5} + e^{2}

(a + b)^{2} - 6 (a + b) + 9

x^{2} - 8 + 15

a^{2} + ab + a r + b r

What is factor x^2+21x+144/4 ?
The solution to factor x^2+21x+144/4 is (x-(3(sqrt(33)-7))/2)(x+(3(sqrt(33)+7))/2)