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# algebra

0
89
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Fill in the blank, so that that the resulting expression is the square of a binomial:

x^2 + 6/5*x + ___

Oct 11, 2020

### 2+0 Answers

#1
+10820
+1

Fill in the blank, so that that the resulting expression is the square of a binomial:
x^2 + 6/5*x +__

Hello Guest!

$$x^2+\frac{6}{5}x+$$__

$$a^2+2ab+b^2\\ a=x\\ 2ab=\frac{5}{6}x$$

$$2xb=\frac{6}{5}x\\ b=\frac{6\cdot x}{5\cdot 2\cdot x}\\ b=\frac{3}{5}$$

$$x^2+\frac{6}{5}x+(\frac{3}{5})^2=(x+\frac{3}{5})^2$$

!

Oct 11, 2020
#2
+28025
+1

Take 1/2  of the 'x' coefficient , square it and add it to the expression to 'complete the square

[(1/2)(6/5) ]2 =   36/100      or   9/25     for the blank

Oct 11, 2020