What is factor x^2-9/10 x+81/400 ?

The solution to factor x^2-9/10 x+81/400 is (x-9/20)^2

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factor x^2-9/10 x+81/400

factor

x^{2} - \frac{9}{10} x + \frac{81}{400}

(x - \frac{9}{20})^{2}

Solution steps

x^{2} - \frac{9}{10} x + \frac{81}{400}

Rewrite in the form of

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

Factor

\frac{81}{400} : (\frac{9}{20})^{2}

= x^{2} - \frac{9 x}{10} + (\frac{9}{20})^{2}

Apply Perfect Square Formula:

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

x^{2} - \frac{9 x}{10} + (\frac{9}{20})^{2} = (x - \frac{9}{20})^{2}

= (x - \frac{9}{20})^{2}

\frac{2 x - 5}{x + 1} \leq 1

\frac{2 i}{2 + i} + \frac{5}{2 - i}

56 \cdot \frac{1}{6} 216

3^{3} \cdot 3^{2}

4 x^{2} + 5 x + 3 = 0

What is factor x^2-9/10 x+81/400 ?
The solution to factor x^2-9/10 x+81/400 is (x-9/20)^2