Whats x^2-2x-2

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x = 1±sqrt(3)

Step-by-step explanation:

x^2-2x-2=0

This polynomial does not factor, so we can use completing the square to solve.

Add 2 to each side

x^2-2x-2+2 =2

x^2 -2x =2

b=-2

We take b/2 and then square it

-2/2 = -1  then square it (-1)^2 =1

Add 1 to each side

x^2 -2x +1 =2+1

The left side is equal to (x+ (b/2) )^2

(x-1) ^2 = 3

Take the square root of each side

sqrt(x-1)^2 = ±sqrt(3)

x-1 = ±sqrt(3)

Add 1 to each side

x-1+1 = 1±sqrt(3)

x = 1±sqrt(3)

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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