Question

x^2+5x-24=0 solve by completing the square use a comma to separate answers if necessary

Answer 1

Rewrite with constant on right side
x^2 +5x = 24
Take middle coefficient, halve it then square it
-->(5/2)^2 = 25/4
Add that to both sides
x^2 +5x +25/4 = 24 + 25/4
Factor left side, notice it is now a perfect square
(x + 5/2)^2 = 24 + 25/4
Combine right side
(x + 5/2)^2 = 96/4 + 25/4 = 121/4
Take square root of both sides
x + 5/2 = +-(11/2)
Subtract 5/2 on both sides
x = +-(11/2) - 5/2
Two solutions:
x = 11/2 - 5/2 = 6/2 = 3
OR
x = -11/2 - 5/2 = -16/2 = -8

Answer 2

Dumb cow is a beast

Answer 3

wow

Answer 4

Would've looked much better in latex though

Answer 5

haha yeah didn't feel like it though
panther hope that helped...same process can be used for any quadratic

Answer 6

how about on my word problem i posted im really not getting it

Answer 7

The square root function is the inverse function of the square...so when you have a quadratic the way to undo the "x^2" to isolate x is to take the square root

Answer 8

i think i can follow along but i get messed up all the time on the little differences in each problem i think i get one masted and then i get the curveball