What is factor x^2-5x+25/4 ?

The solution to factor x^2-5x+25/4 is (x-5/2)^2

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factor x^2-5x+25/4

factor

x^{2} - 5 x + \frac{25}{4}

(x - \frac{5}{2})^{2}

Solution steps

x^{2} - 5 x + \frac{25}{4}

Rewrite in the form of

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

Factor

\frac{25}{4} : (\frac{5}{2})^{2}

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

Apply Perfect Square Formula:

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

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

= (x - \frac{5}{2})^{2}

- \frac{3}{4} = \frac{x}{24}

- 9 = z + 22

\frac{( 8 ^{6} ) ( 8 ^{- 3} ) ( 4 ^{- 2} )}{2}

\frac{10}{6} + \frac{3}{8} + \frac{4}{9}

\frac{x}{2.4} = 15.1