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tocutetolive90's avatar

Can anyone help me figure out my math problem?

Asked by tocutetolive90 (888points) September 18th, 2011

I think I figured it out but I was wondering if someone could break it down to compare to my answer. (9–2x) (5–2x) – 45 = 24 . I have to figure out the factor for x

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13 Answers

XOIIO's avatar

Hmm

(9–2x) (5–2x) – 45

(7x) (3x) – 45

21 – 45x

= -24

looks right but its been a while, you just got it positve.

Ela's avatar

I think you have to foil, combine like terms, subtract then divide out…

XOIIO's avatar

Yeah the whole point is getting the X to the other side.

tocutetolive90's avatar

Now to use it in it in a word problem; a landscape architect has included a rectangler flower bed measures 9 feet by 5 feet in her plans for a new building. She wants to use two colors of flowers in the bed. One in the center and the other for a border of the same width on all four sides. If she can get just enough plants cover 24 square feet for the border how wide can the border be?

Ela's avatar

@XOIIO you can’t take 9 and subtract 2x from it. They aren’t like terms

x=24/32
then simplify more

XOIIO's avatar

Bah whatever, I said its been a while.

Ela's avatar

@XOIIO LOL Bah back ; ) @tocutetolive90 I stink at word problems and negative fractions ; (

tocutetolive90's avatar

It’s okay thanks both of you

jfos's avatar

(9 – 2x)(5 – 2x) – 45 = 24
then foil
45 – 10x – 18x + 4x^2 – 45 = 24
the 45s cancel
4x^2 – 28x = 24
bring the 24 over
4x^2 – 28x – 24 = 0
then use the quadratic formula

9doomedtodie's avatar

I would solve like this,

(9–2x) (5–2x) – 45 = 24

45–18x-10x+4×2–45=24

4×2–28x-24=0

x2–7x-6=0
————————-

Now, we need to solve this quadratic equation and which will have two roots.

x= [- b(+or-) sqrt(b2–4ac)]/2a

b=-7, a=1 and c=-6

Put these in the above formula.

x=[- (-7) (+ or – ) (sqrt((-7)2–4(1)(-6)]/2*1

Solving this equation you will get

x=7.77 or x=-0.725

Put these in your equation, you will find answer 23.94, which is approximately equal to 24.

ratboy's avatar

(9 – 2*x)*(5 – 2*x) – 45 = 24
(9 – 2*x)*5 – (9 – 2*x)*2*x – 45 = 24
45 – 10*x – (18*x – 4*x^2) – 45 = 24
4*x^2 – 28*x = 24
x^2 – 7*x = 6
x^2 – 7*x + 49/4 = 6 + 49/4
(x – 7/2)^2 = 73/4
x – 7/2 = +/- sqrt(73/4)
x = 7/2 +/- sqrt(73)/2
x = (7 +/- sqrt(73))/2

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