Find the two square roots of 144.

The square root function

sqrt(144) or √144 produces a single positive value, 12.  

However if you have an equation

x² = 144, then you have two possible values for x, 12 and -12.  

Two ways to look at it.  

x² - 144 = 0

Difference of two squares

(x+12)(x-12) = 0

x = -12, 12

x² = 144

x = ±√144

x = ±12

x = -12, 12

12 and -12

Step-by-step explanation:

144 is a perfect square which means that a number multiplies to it with the same number. In this instance both 12 and -12 equal 144.

12 x 12 = 144

-12 x -12 = 144 (two negatives equal a positive)

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

51-50

step-by-step explanation: