That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (5 plus or minus the square root of 73) divided by 12
x = 1.128666978776461
x = -0.2953336454431275
36X2 - 64Y2
4(9X2 - 16Y2)
=============best I can see
(6y+1)(6y-1)
(7 + 6y)(7 - 6y)
2(5x - 6y)(25x2 + 30xy + 36y2)
Yes. One is a factor of everything.
The factor of what.
Every number has 1 as its factor and 1 is the smallest factor of any number. So least common factor of two or more numbers is always 1. Therefore, least common factor of 23 and 25 is 1.
Yes, but then, 1 is a factor of everything except zero.
(6y + 1)(6y - 1)
36y^2 - 1 = (6y - 1)(6y + 1)
25x2 - 36y2 = ( 5x + 6y ) ( 5x - 6y )
If by "What is the answer to", you mean "How do you factor", then we can solve it as follows: x2 + 13xy + 36y2 = x2 + 4xy + 9xy + 36y2 = x(x + 4y) + 9y(x + 4y) = (x + 9y)(x + 4y)
4(2x + 3y)(2x + 3y)
x2 − 36y2
Here's a handy gadget that should be in your toolbox if you're working with algebra: The difference of the squares of 2 numbers = (Sum of the numbers) times (difference of the numbers) 36y2 is the square of 6y, and 25 is the square of 5. So ( 36y2 - 25 ) = ( 6y + 5 ) ( 6y - 5 )
2(5x - 6y)(25x2 + 30xy + 36y2)
(3x - y)(x - 3y) (6y - 11)(6y + 11)
25x2 - 36y2If you notice that 25 and 36 are perfect squares, you know that your answer would be like the following: (5_ + 6_)(5_ - 6_)because 25x2 - 36y2 is a perfect square binomial, so their square roots fit that way. This only works if the middle sign is minus.From there, you just plug in the x's and y's to get:(5x + 6y)(5x - 6y)
y=12
x2 = 18y2/5 + 10 Or if you want to isolate x: x = ± √(18y2/5 + 10)