Question 57766: 32. 2w(4w+1)=1
can someone please help Found 4 solutions by hayek, Earlsdon, funmath, oberobic:Answer by hayek(51) (Show Source):
You can put this solution on YOUR website! You need to get the quadratic into the form so it can be factored.
Problem:
Expand the left side first
subtract 1 from both sides
Now, factor as usual:
This can be true if: or
So the two factors are:
w=1/4 or w=-1/2
You can put this solution on YOUR website! Solve for w: First, simplify this by applying the distributive property. Now subtract 1 from both sides. Solve this quadratic equation by factoring. Apply the zero product principle. and/or
If then and
If then and
The solutions are:
You can put this solution on YOUR website! I'm factoring by grouping,ac,or arch method. Use whatever method you're most comfortable. Set each parenthesis = to 0.
4w-1=0 and 2w+1=0
4w=1 and 2w=-1
w=1/4 and w=-1/2
Happy Calculating!!!
You can put this solution on YOUR website! Given: 2w(4w+1)=1
We know that 2*w*(4*w+1)=1 (which simply shows the computations).
Using the distributive property: 2w(4w+1)=8w^2+2w
So 2w(4w+1)=1 becomes 8w^2+2w=1 or
8*w^2+2*2 (showing the computations).
Subtracting 1 from both sides of the equation: 8w^2+2w-1=0, which is standard form.
We cannot factor 8w^2+2w-1 into simpler terms, so we have to use the quadratic equation: .
(
