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Question
If `|(2x, 5),(8, x)| = |(6, -2),(7, 3)|`, then value of x is ______.
Options
3
±3
±6
6
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Solution
If `|(2x, 5),(8, x)| = |(6, -2),(7, 3)|`, then value of x is ±6.
Explanation:
We have `|(2x, 5),(8, x)| = |(6, -2),(7, 3)|`
⇒ 2x2 – 40 = 18 + 14
⇒ 2x2 = 72
⇒ x2 = 36
∴ x = ±6
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