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kobusy [5.1K]
3 years ago
10

Solve by completing the square.

Mathematics
2 answers:
IRINA_888 [86]3 years ago
7 0

Answer:

-23.18, -0.82

Step-by-step explanation:

  • h² + 24h + 19 = 0
  • h²+2h*12+12²-125=0
  • (h+12)²-√125²=0
  • (h+12+11.18)(h+12-11.18)=0
  • (h+23.18)(h+0.82)=0
  • h+23.18=0 ⇒ h= -23.18
  • h+0.82=0 ⇒ h= -0.82
Colt1911 [192]3 years ago
7 0

Answer:

-23.18, -.82

Step-by-step explanation:

h^2 + 24h + 19 = 0

Subtract 19 from each side

h^2 +24h = -19

Take the coefficient of h

24

Divide by 2

24/2 =12

Square it

12^2 =144

Add this to both sides

h^2 +24h+144 = -19+144

(h+12)^2 =125

Take the square root of each side

sqrt((h+12)^2) =±sqrt(125)

h+12 = ±sqrt(125)

Subtract 12 from each side

h+12-12 = -12 ±sqrt(125)

h =-12 ±sqrt(125)

h = -12 - sqrt(125) = -23.18033989

h = -12 + sqrt(125) = -.819660113

To the nearest hundredth

-23.18, -.82

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Answer:

C, both methods save the same amount of money

Step-by-step explanation:

First, we need to calculate what each answer choice will equal.

For A, it asks us to add the sales tax and then take the discount off. So, to find out what the sales tax is equal to, we multiply 720 x 0.06 (because 6% is equal to 0.06).

720 x 0.06 = 43.2

Add the sales tax to the original amount and you get 763.2.

Now we take the discount, which is 25% or 1/4.

1/4 of 763.2 is 190.8.

Subtract the discount from the price and you get 572.4.

For B, it says to take the discount first and then add the sales tax.

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Subtract 180 from 720, and you get 540.

Now add the sales tax.

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Answer:

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