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1.Relation and Function
normal
Let $f(x ) = x^3 - 2x + 2$. If real numbers $a$, $b$ and $c$ such that $\left| {f\left( a \right)} \right| + \left| {f\left( b \right)} \right| + \left| {f\left( c \right)} \right| = 0$ then the value of ${f^2}\left( {{a^2} + \frac{2}{a}} \right) + {f^2}\left( {{b^2} + \frac{2}{b}} \right) - {f^2}\left( {{c^2} + \frac{2}{c}} \right)$ equal to
A
$6$
B
$24$
C
$36$
D
$48$
Solution
$x^{3}-2 x+2=0\left\{\begin{array}{l}{a} \\ {b} \\ {c}\end{array}\right.$
and $a^{2}+\frac{2}{a}=b^{2}+\frac{2}{b}=c^{2}+\frac{2}{c}=2$
Standard 12
Mathematics
