Question

. If a+b+c =9, and ab+ bc+ ca =23, then find a² + b2 + c2 ​

Answer 1

Answer:

58

Step-by-step explanation:

$(a + b + c) {}^{2} = a {}^{2} + b {}^{2} + c {}^{2} + 2(ab + bc + ca) \\ {9}^{2} = ( {a}^{2} + b {}^{2} + c {}^{2} ) + 2(23) \\ 81 - 23 = ans \\ ans = 58$