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Ugo [173]
3 years ago
13

Let a= x^2 +4. Rewrite the following equation in terms of a and set it equal to zero. (x^2+4)^2+32=12x^2+48 what are the solutio

ns for x
Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0
Just replace x^2+4 with a
factor out on left side
(x^2+4)^2+32=12(x^2+4)
replace x^2+4 with a
a^2+32=12a
minus 12a both sides
a^2-12a+32=0
solve
factor
what 2 numbers mulitply to get 32 and add to get -12
-4 and -8
(a-4)(a-8)=0

set each to zero
a-4=0
a=4

a-8=0
a=8


remember
a=x^2+4
so

4=x^2+4
0=x^2
0=x

8=x^2+4
4=x^2
+/-2=x


x=-2, 0, 2
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iris [78.8K]
-5/8c = 20....multiply both sides by -8/5 (this cancels out the -5/8 on the left
c = 20(-8/5)
c = -160/5
c = - 32

check..
-5/8(-32) = 20
160/8 = 20
20 = 20 (correct)

so c = -32
8 0
3 years ago
Han's garden has an area of 193.75
ycow [4]

Answer:

15.5

Step-by-step explanation:

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to find the width, you will have to reverse engineer and divide the area by the length instead.

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3 years ago
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kvv77 [185]
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5 0
3 years ago
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Need help on math You have a meal at a restaurant. The sale tax is 8% . You leave a tip for the waitress that is 20% of the pret
DerKrebs [107]

Answer: $18

Step-by-step explanation:

Let x= Pretax price of the meal.

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As per given ,

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So,

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Hence, the pretax price of the meal= $18.

4 0
3 years ago
The length of a rectangle is equal to three times it’s widt. If the perimeter is equal to 96 feet, what is the length of the rec
exis [7]

Answer:

12 feet

Step-by-step explanation:

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Hope this helped!! :D

4 0
3 years ago
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