SOLUTION: Find the value or values of y in the quadratic equation y^2+4y+4=7
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Question 266445
:
Find the value or values of y in the quadratic equation y^2+4y+4=7
Answer by
jim_thompson5910(35256)
(
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):
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Start with the given equation.
Subtract 7 from both sides.
Combine like terms.
Notice that the quadratic
is in the form of
where
,
, and
Let's use the quadratic formula to solve for "y":
Start with the quadratic formula
Plug in
,
, and
Square
to get
.
Multiply
to get
Rewrite
as
Add
to
to get
Multiply
and
to get
.
Simplify the square root (note: If you need help with simplifying square roots, check out this
solver
)
Break up the fraction.
Reduce.
or
Break up the expression.
So the solutions are
or