anonymous one year ago Fill in the blank to make the expression a perfect square. V^2-14v+?

1. welshfella

Hint: the first step is to divide 14 by 2

2. anonymous

so 7

3. welshfella

also: (a - b)^2 = a^2 - 2ab + b^2

4. anonymous

is it49?

5. LynFran

yea

6. welshfella

yes + 49

7. anonymous

Thank you!

8. welshfella

yw

9. Jhannybean

$v^2+14v \implies ax^2+bx$ You want it in the quadratic form, $$av^2+bv+c$$ $c=\left(\frac{b}{2}\right)^2 \qquad \therefore \qquad c=\left(\frac{4}{2}\right)^2 = (2)^2=4$$v^2+4v+4 \implies (v+2)^2$