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} :

Factor

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

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

Apply Perfect Square Formula:

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

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

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

m^{2} + m - 90

1 - x = 16 - 4 x

s^{2} + 2 s + 1

- 5 \leq 3 x + 4 < 16