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german
3 years ago
12

If (x-3) ²=16, find the positive value of x.​

Mathematics
1 answer:
Zina [86]3 years ago
6 0

7

Step-by-step explanation:

(x - 3)² = 16

x² - 6x + 9 = 16

x² - 6x + 9 - 16 = 0

x² - 6x - 7 = 0

(x - 7)(x + 1)

x = 7 \/ x = -1

so positive value of <u>x = 7</u>

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Please help me solve this. Please don’t give me a link, or it will be reported. Please provide step by step explanations. Thanks
nika2105 [10]

Answer:

x = 27/10 or x = 2.7

Step-by-step explanation:

Step 1: Get rid of the denominator.

LCD of 4 & 3: 12

Multiply both sides by 12.

12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)

Reduce the numbers.

3 ( 2x - 1) + 4x = 24

Step 2: Distribute.

6x - 3 + 4x = 24

Step 3: Collect like terms.

6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)

10x = 27

Step 4: Solve for x.

Multiply both sides by 10.

10x / 10 = 27 / 10 (the 10 cancels out)

x = 27 / 10 or x = 2.7

Answer: x = 27 / 10 or x = 2.7

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2 years ago
Nyla buys a birthday present for Nayelly. She finds a sweater that is originally $32 and a pair of socks that is $5.50. But the
LekaFEV [45]

Answer:

$22.50

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3 years ago
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
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