Question
If $(a+b+c)=15$ and $(a b+b c+c a)=74$, find the value of $\left(a^2+b^2+c^2\right)$.
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| xi | 18 | 19 | 20 | 21 | 22 | 23 | 24 |
| fi | 170 | 320 | 530 | 700 | 230 | 140 | 110 |