Complete the Square to Find Solutions
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What equation results just before taking square roots when deriving the quadratic formula?
QUESTION
What property justifies adding the same number to both sides while completing the square?
QUESTION
What operation isolates
x
x
x
after obtaining
(
x
−
p
)
2
=
q
\left(x-p\right)^2=q
(
x
−
p
)
2
=
q
?
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ANSWER
Take square roots:
x
−
p
=
±
q
x-p=\pm\sqrt{q}
x
−
p
=
±
q
. Taking square roots of both sides gives the plus-minus solutions.
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