Question 158062: Find the value for k that will make 4x^2+6.4x +k a perfect square. Found 2 solutions by nabla, Edwin McCravy:Answer by nabla(475) (Show Source):
You can put this solution on YOUR website! It is clearly evident that we will need something of the form:
(2x+a)^2=4x^2+6.4x+k
Now the x terms equated will be;
4xa=6.4x
Which gives a=1.6
So the perfect square has to be (2x+1.6)^2. Now to find k we expand and find the constant term is 2.56.
You can put this solution on YOUR website! Edwin's solution:
Find the value for k that will make 4x^2+6.4x +k a perfect square.
0 solutions
If it is to factor as a perfect square its
factorizaton must be:
So
Since the first and last terms on each sides are equal, the
middle terms must also be equal. So we set them equal:
Divide both sides by x:
Divide both sides by 4:
Square both sides:
Edwin
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