What is factor x^2-5/2 x+25/16 ?

The solution to factor x^2-5/2 x+25/16 is (x-5/4)^2

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factor x^2-5/2 x+25/16

factor

x^{2} - \frac{5}{2} x + \frac{25}{16}

(x - \frac{5}{4})^{2}

Solution steps

x^{2} - \frac{5}{2} x + \frac{25}{16}

Rewrite in the form of

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

Factor

\frac{25}{16} : (\frac{5}{4})^{2}

= x^{2} - \frac{5 x}{2} + (\frac{5}{4})^{2}

Apply Perfect Square Formula:

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

x^{2} - \frac{5 x}{2} + (\frac{5}{4})^{2} = (x - \frac{5}{4})^{2}

= (x - \frac{5}{4})^{2}

6 \cdot 13

∣ 3 - 6 c ∣ = ∣ 2 c + 3 ∣

g (\frac{1}{5}) = - (\frac{1}{5})^{2} - 2 (\frac{1}{5}) - 2

\frac{2}{3} \cdot \frac{6}{20}

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What is factor x^2-5/2 x+25/16 ?
The solution to factor x^2-5/2 x+25/16 is (x-5/4)^2