Given that h2+k2=21 and hk=10, what is the value of (h−k)2?
Question
Given that h2+k2=21 and hk=10, what is the value of (h−k)2?
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Solution
Sure, let's solve this step by step:
The formula for (h−k)² is h² - 2hk + k².
We know that h² + k² = 21 and hk = 10.
Substitute these values into the formula:
(h−k)² = 21 - 2*10 = 21 - 20 = 1.
So, the value of (h−k)² is 1.
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