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Nookie1986 [14]
3 years ago
6

Solve: 12^x2+5x-4 = 12^2x+6 x=2x = -5x=2x=-5no solution​

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

x=2

Step-by-step explanation:

12x^2+5x-4 = 12x^2+6

Subtract 12x^2 from each side

12^x2-12x^2+5x-4 = 12^2x-12x^2+6

5x-4 = 6

Add 4 to each side

5x-4+4 = 6+4

5x = 10

Divide each side by 5

5x/5 = 10/5

x = 2

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Answer:

8.92

Step-by-step explanation:

14.52 - 5.6 =

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3 years ago
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| x - 1 | = 5x + 10<br> Check for extraneous solutions.
Ronch [10]
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
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x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
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2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
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