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kakasveta [241]
3 years ago
13

Please answer asap this person made a mistake what is the error and correct solution to this problem

Mathematics
2 answers:
densk [106]3 years ago
7 0

Answer:

Error : The expression ( 4 + x )² was expanded incorrectly.

Correct Solution : x = 6

Step-by-step explanation:

The planning of the solution is correct, by Pythagorean Theorem you can say that PQ² + QO² = PO², and hence through substitution x² + 8² = ( 4 + x )². Let's look into the calculations.

PQ² + QO² = PO²,

x² + 8² = ( 4 + x )²,

x² + 8² = 16 + 8x + x²,

64 = 16 + 8x,

48 = 8x,

x = 48 / 8 = 6, x = 6

As you can see, the only error in the calculations was expanding the expression ( 4 + x )². ( 4 + x )² = 4² + 2 * 4 * x + x² = 4² + 8x + x² = 16 + 8x + x², not 16 + 4x + x².

stiv31 [10]3 years ago
6 0

Answer:

6

Step-by-step explanation:

Hello, please consider the following.

(4+x)^2=4^2+2\cdot 4\cdot x+x^2=16+\boxed{8}x+x^2\\\\\text{ ... and not ...}\\\\16+\boxed{4}x+x^2

So the correct equation becomes.

x^2+64=16+8x+x^2\\\\8x=64-16=48\\\\\text{ we divide by 8 both sides of the equation.}\\\\x=\dfrac{45}{8}=6

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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It is given that one number is 6 more than another. If three times the sum of the two numbers is equal to 22 more than the large
Irina-Kira [14]

Answer:

First number=22

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Step-by-step explanation:

Since you don't know either of the numbers we can call the first number x. The second number is the first number plus 6 or x+6. The sum is 22 more than the larger number so x+6+22 or x+28. Using this we can create the equation x+x+6=x+28. In order to isolate x we would subract x from both sides ending up with x+6=28. Then subract 6 from both sides to get x=22. This means the first number equals 22. Then to solve for the second number you plug 22 in for x to get the equation 22+6= the second number, so the second number is equal to 28. Look below for just the equation.

x+x+6=x+6+22

2x+6=x+28

-x -x

x+6=28

-6. -6

x=22

22+6

=28

22+28= 28+22

50=50

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I think it is 4
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The first choice is correct trust meh. Have a nice day/night !

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Answer:

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Step-by-step explanation:

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