1.

If a + b c = 7 and ab- bc - ca = 14, find the value of a^2 +b^2 +c^2​

Answer»

ANSWER:

{a}^{2} + {b}^{2} + {c}^{2} = 21

Step-by-step EXPLANATION:

{a + b - c}^{2} \: = {a}^{2} + {b}^{2} + ({-c}^{2}) + 2ab - 2bc - 2ac \\ = > {7}^{2} = { a}^{2} + {b}^{2} + {c}^{2} + 2(ab - bc - ac) \\ = > 49 = { a}^{2} + {b}^{2} + {c}^{2} + 2(14) \\ = > { a}^{2} + {b}^{2} + {c}^{2} = 49 - 28 = 21


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