The value of $$\frac{{{{\left( {4.6} \right)}^4} + {{\left( {5.4} \right)}^4} + {{\left( {24.84} \right)}^2}}}{{{{\left( {4.6} \right)}^2} + {{\left( {5.4} \right)}^2} + 24.84}}$$ is:
A. 24.42
B. 25.48
C. 24.24
D. 42.42
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & 4.6 = b \cr & 5.4 = a \cr & \frac{{{b^4} + {a^4} + {a^2}{b^2}}}{{{a^2} + {b^2} + ab}} \cr & = \frac{{\left( {{a^2} + {b^2} + ab} \right)\left( {{a^2} + {b^2} - ab} \right)}}{{{a^2} + {b^2} + ab}} \cr & = {a^2} + {b^2} - ab \cr & = {\left( {a - b} \right)^2} + ab \cr & = {\left( {5.4 - 4.6} \right)^2} + 24.84 \cr & = {0.8^2} + 24.84 \cr & = 25.48 \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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