What is the product of the binomials below?
1 answer:
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We are given number 1,764.
And a factor tree of 1,764 is show in the diagram.
First 1764 is factored into 2 and 882.
Then 882 is factored to 2 and 441.
441 is factored to 9 and 49.
And finally 9 is factored to 3 and 3.
49 is factored to 7 and 7.
<em>So final factors we got 3 × 3 × 7 × 7.</em>
3 × 3 could be written as 3^2 and
7 × 7 = could be written as 7^2.
<h3>Therefore,
The Lagrangian is
Set the partial derivatives equal to 0:
Notice that
, or 
.
Since
, it follows either 
, and so there are two critical points at (1, 1) and (-1, -1). Both of these points give the same value of 
. And since the Hessian matrix for 
is positive-definite, these points correspond to minima. has no maximum value on .
Set the partial derivatives equal to 0:
Notice that
Since
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