Question

x^2+5x+25/4 factorise
the answer is
X+5/2 but I don't know the method please help......​

Answer 1

Factorise:

1. x^2 + 5x + 25/4

Step-by-step Explanation:

Using the 'Splitting the Middle Term' method, we get -

${x}^{2} + \frac{5}{2} x + \frac{5}{2} x + \frac{25}{4} \\ = > (x \times x) + ( \frac{5}{2} \times x) + ( \frac{5}{2} \times x) + ( \frac{5}{2} \times \frac{5}{2}) \\ taking \: out \: the \: common \: factors \\ = > x(x + \frac{5}{2} ) + \frac{5}{2} (x + \frac{5}{2} ) \\ = (x + \frac{5}{2} )(x + \frac{5}{2} )$

The Verification is Given in the Attachment....

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