SOLUTION: If {{{ 4m^2+9n^2=1 }}} and {{{ (2m-3n)^2=13 }}}, what is the value of mn?
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-> SOLUTION: If {{{ 4m^2+9n^2=1 }}} and {{{ (2m-3n)^2=13 }}}, what is the value of mn?
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Question 970352
:
If
and
, what is the value of mn?
Answer by
jim_thompson5910(35256)
(
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):
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Step 1) Expand out the second equation using the distributive property or FOIL.
Step 2) Use the first equation to simplify.
Step 3) Isolate mn.
Using the idea
Distributive property
Distributive property
Combine like terms
Regrouping terms (associative property of addition)
Replace
with 1 (valid since
)
Now we solve for mn.