Show me how to factor this equation: -10y^2+360=0?

Answer 1

-10y^2+360=0

To factor this equation use the difference of two squares:

a^2 − b^2 = (a + b)(a − b)

Since your Y term is squared you know that your are going to have this set up:
-10(y+____)*(y-____)

Now you need to determine what to put in the blanks.
Think about it this way ____*____=36 (36 which is 360 w/out the last zero. I omitted it due to the -10 that it will be multiplied out by in the end)
6*6=36 So you know a six goes in each of the blanks. You know from the formula for the difference of two squares that one must be positive and one must be negative (the sixes).

-10(y-6)(y+6)=0

ALWAYS check your work:

To check undo the work you just did via the foil(first, outter, inner, last) method, or the method of your choice.
(y-6)(y+6)

y*y=y^2
y*6=6y
-6*y=-6y
-6*6=-36
............so you have y^2+6y-6y-36....6y's cancel and you have......
(y^2-36)
Now put your -10 back in front for
-10(y^2-36) now distribute your -10
-10y^2+360 which is your origional equation.
Good luck!!!

***Please note that if you were asked to find the SOLUTION(S) to the problem -10y^2+360=0, the correct answer would be y= +6,-6, however your problem didn't ask for a solution only to factor it***

Answer 2

-10y^2+360=0
-10(y^2 - 36) = 0
-10(y - 6)(y + 6) = 0

Th

Answer 3

1st Subtract the 360 from both sides (-10y^2=-360)
2nd Divide by -10 from each side (y^2=-360/10)
3rd Negative 360 divided by negative 10 equals 36. (y^2=36)
4th Take the Square Root of both sides now. y=6

Answer 4

360 - 10 y^2 = 10 ( 36 - y^2) = 0

Answer 5

discover components of 6 that once extra supply you -a million through fact the middle term is -x. 3 x 2 = 6 3-2 = a million 6 x a million = 6 6 +a million = 7 There are not from now on components, hence this equation won't be able to be factored, although, you could try utilising the quadratic formula, subsequently it won't artwork the two. yet another approach is to graph it, judging from the equation all of us understand that it rather is a quadratic. and all of us understand that it rather is dealing with up. we are able to discover the y-intercept with the help of making x=0. which will supply us 6. which potential from its y-intercept of 6, it retains going up and up, hence in no way crossing the x-axis, and not having any roots. which potential you could not ingredient it.

Answer 6

is that a real question ???!!!! its too easy
-10y^2+360=0
-10 y^2 = -360
y^2=360/10 =36
y = +6 or y= -6

Answer 7

-10y^2 + 360 = 0
subtract 360 from 360 and 0
_________________
-10y^2= -360
____ ___
-10 -10

=y^2=36

y=6

Answer 8

It's the difference between two squares.

x^2 - y^2 = (x + y)(x - y)

In this case:

10(6 + y)(6 - y) = 0

Answer 9

-10y^2+360=0
-10y^2=-360
-y^2=-36
-1(-y^2)=-1(-36)
y^2=36
y=6

Answer 10

-10y^2= -360
y^2 = 36

y = 6