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Luba_88 [7]
2 years ago
7

Error analysis: You are going to find the error(s) in the math work shown below. Explain any errors completely, then enter the c

orrect solution including the correct steps. For both problems
Thank you
please answer​

Mathematics
1 answer:
sveta [45]2 years ago
5 0

Answer:

See below ~

Step-by-step explanation:

Analyzing Question 2 :

⇒ \sqrt{\frac{15}{2} }

⇒ \frac{\sqrt{15} }{\sqrt{2} } (Correct)

⇒ \frac{\sqrt{15} }{\sqrt{2} } \times \frac{\sqrt{2} }{\sqrt{2} } (Correct)

⇒ \frac{\sqrt{30} }{\sqrt{2}} (Incorrect ×)

This step is incorrect because on multiplying the denominator it should be √4, equal to 2.

The correct step will be :

⇒ \frac{\sqrt{30} }{2} (Correct) (Final solution)

Analyzing Question 3 :

⇒ x^{2} - 4 = 0

⇒ \sqrt{x^{2} -4} = 0 (Step is theoretically correct, but solution won't be possible here)

⇒ x-2=0 (Incorrect ×)

This step is incorrect because the square root of x² - 4 cannot be taken. (x - 2) would be the value of the root of (x - 2)² = x² - 4x + 4.

Resolving by alternative method :

⇒ x^{2} = 4 (Correct)

⇒ \sqrt{x^{2} } = \sqrt{4} (Correct)

⇒ x = ±2 (Correct) (Final solution)

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