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# Factoring Equations

A^2- 6a +9=0

Use the even -root property to solve each question

x^2= 9/4

(x-3)^2=16

(w-3/2)^2=7/4

(w+2/3)^2=5/9

Find the perfect square trinomial whose first two terms are given.
w^2-5w

p^2+6/5p

factor each perfect square trinomial.
y^2-5y+25/4

t^2+3/5t+9/100

solve by complteing the square
3x^2-6x=24

q^2 +5q=14

x^2+4x=6

solve each equation by appropriate method
1/x^2+3/x+1=0

Find all real or imaginary solutions to each equation.

4x^2+25=0

5t^2+4t-3=0

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solve by factoring
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a^2- 6a +9=0

Solution. As , we know that if
,
then
a-3=0 or a-3=0
So, a=3 is the unique root.

Use the even -root prpoerty to solve each question

x^2= 9/4

Solution. , b y the even -root property, we have
x=3/2 or x=-3/2

(x-3)^2=16
Solution. , b y the even -root property, we have
x-3=4 or x-3=-4
So,
x=7 or ...

#### Solution Summary

Equations are factored. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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