SOLUTION: factor the following quadratic using the difference of two squares? 26x^2 -1 I could not find factoring Quadratics in the word problems box.

Question 1147530: factor the following quadratic using the difference of two squares?
26x^2 -1
I could not find factoring Quadratics in the word problems box.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i believe the following reference addresses what you are talking about.
http://www.mesacc.edu/~scotz47781/mat120/notes/factoring/diff_of_squares/diff_of_squares.html
your problem is to factor 26x^2 - 1.
this can be broken down into the difference of two square as shown below:
26x^2 - 1 = (sqrt(26)x - 1) * (sqrt(26)x + 1)
set these equal to 0 to get:
(sqrt(26)x - 1) * (sqrt(26)x + 1) = 0
this results in:
sqrt(26)x - 1 = 0 or sqrt(26)x + 1 = 0
this results in:
sqrt(26)x = 1 or sqrt(26)x = -1
solve for x in each of these to get:
x = 1/sqrt(26) or x = -1/sqrt(26)
these can be combined to say:
x = plus or minus 1/sqrt(26)

the graphical solution is shown below.
note that plus of minus 1/sqrt(26) is equivalent to plus or minus .1961161351 that rounds to plus or minus .1961 as shown in the graph.

$$$

RELATED QUESTIONS
Factoring the difference of two squares. Factor, write prime if prime. a^2b -... (answered by MathLover1)

Factoring the difference of two squares. Factor, write prime if prime. -x^2 +... (answered by MathLover1)

Factoring the difference of two squares. Factor, write prime if prime. -98 +... (answered by MathLover1)

The formula for factoring the difference of two squares is A^2 - B^2 =... (answered by Alan3354)

I need help factoring polynomials.. Like squares and such. So, I guess here's #1: Find... (answered by sudhanshu_kmr)

factor this equation using the difference of two squares please. 2(x-2y)^2-18z^2 (answered by fractalier)

factor using the difference of two squares formula x^2 -... (answered by drj)

How do I factor the difference of two... (answered by Earlsdon)

Factor as the difference of two squares. Be sure to factor completely. 49x^2 -... (answered by ewatrrr)