Given that h2+k2=122 and hk=11, find the value of (h+k)2.
Question
Given that h2+k2=122 and hk=11, find the value of (h+k)2.
Solution
Sure, let's solve this step by step:
Step 1: We know that the formula for (h+k)² is h² + 2hk + k².
Step 2: We are given that h² + k² = 122 and hk = 11.
Step 3: Substitute the given values into the formula. So, (h+k)² = 122 + 2*11.
Step 4: Calculate the value. So, (h+k)² = 122 + 22 = 144.
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