What is factor x^2+9x+81/4 ?

The solution to factor x^2+9x+81/4 is (x+9/2)^2

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factor x^2+9x+81/4

factor

x^{2} + 9 x + \frac{81}{4}

(x + \frac{9}{2})^{2}

Solution steps

x^{2} + 9 x + \frac{81}{4}

Rewrite in the form of

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

\frac{81}{4} = (\frac{9}{2})^{2}

9 x = 2 x \frac{9}{2}

= x^{2} + 2 x \frac{9}{2} + (\frac{9}{2})^{2}

Apply Perfect Square Formula:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

x^{2} + 2 x \frac{9}{2} + (\frac{9}{2})^{2} = (x + \frac{9}{2})^{2}

= (x + \frac{9}{2})^{2}

2 x^{2} - 4 x - 6

s^{3} + 3 s^{2} + 4 s + 12

- 3 a^{3} - 9 a^{2} - 6 a - 18

\frac{t + 3}{15} = 3

x^{2} - 8 x + 80 = 0