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3 years ago

Solve x2+4x=1 by Completing the square

Mathematics

1 answer:

Viefleur [7K]3 years ago

7 0

Answer:

x = -2 ±√5

Step-by-step explanation:

You want to complete the square by adding the square of half the coefficient of the linear term:

x^2 + 4x + (4/2)^2 = 1 + (4/2)^2

(x +2)^2 = 5 . . . . . simplify

x +2 = ±√5 . . . . . . take the square root

x = -2 ±√5 . . . . . . subtract 2. This is the solution.

For the problem in the picture, replace x with p in the above.

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3 years ago

Find the slope of the line that passes through the two points 2,-4 & 4,-1

Lemur [1.5K]

Answer:

Step-by-step explanation:

I have this saved on my computer in notepad b/c this type of question get asked sooo often :/

point P1 (-4,-2) in the form (x1,y1)

point P2(3,1) in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

My suggestion is copy that above and save it on your computer for questions like this

now use it

Point 1 , P1 = (2,-4) in the form (x1,y1)

Point 2 , P2 = (4,-1) in the form (x2,y2)

m = [ -1-(-4) ] / [ 4-2]

m = (-1+4) / 2

m = 3 / 2

so now we know the slope is 3/2 :)

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3 years ago