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2 years ago

Twice the difference of a number and 2 is equal to three times the sum of the number and 4

Mathematics

1 answer:

ikadub [295]2 years ago

5 0

Answer:

Step-by-step explanation:

We are given that Twice the difference of a number and 2 is equal to three times the sum of the number and 4. And we have to tell the number.

Let the number be x

Its difference from 2 = x-2

Twice the difference =2(x-2)

Sum of number and 4 = x+4

Three times of the sum : 3(x+4)

Hence 2(x+2)=3(x+4)

2x+2×2=3x+3×4

2x+4=3x+12

Subtracting 12 and 2x from both sides.

4-12=3x-2x

-8=x

Hence the number is -8

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nydimaria [60]

Answer:

x = 9 + 6i or x = 9 - 6i

Step-by-step explanation:

x² - 18x + 117 = 0

Complete the square and solve:

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x - 9 = ±sqrt(-36)

x - 9 = ±sqrt(-1).sqrt(36)

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