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A+b=10 and ab=4 find a2+b2 |
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Answer» The value of a + b = 10 The value of ab = 4 TO FIND: The value of a² + b² SOLUTION: Squaring on both sides => (a + b)² = (10)² We know that, (a + b)² = a² + b² + 2ab (10)² = a² + b² + 2(ab) Substitute the value of ab 100 = a² + b² + 2(4) 100 = a² + b² + 8 => a² + b² = 100 - 8 => a² + b² = 92 Therefore, the value of a² + b² is 92. |
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