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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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