There are 7 circles in a row. there are 3 rows complete story

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amandajennings01

12.01.2020

Mathematics

1. $\dfrac{9}{8}$ .

Step-by-step explanation:

The given expression 2x^2-3x+1

Using completing the square method.

First, we divide the entire expression by 2 and write in the form of x^2+bx=c , we get

$x^2-\dfrac{3}{2}x+\dfrac{1}{2}$

Such that $b=\dfrac{3}{2}\ \ \ , c=\dfrac{1}{2}$

Now add and subtract $(\dfrac{b}{2})^2$ on both sides.

$(\dfrac{b}{2})^2=(\dfrac{\dfrac{3}{2}}{2})^2\\\\=(\dfrac{3}{2\times2})^2\\\\=(\dfrac{3^2}{4^2})\\\\=\dfrac{9}{8}$

Here, we add and subtract $\dfrac{9}{8}$ .

Hence, the correct answer is 1. $\dfrac{9}{8}$ .

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