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
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.
1 is a factor of every number.
(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)