Question

( 7x - 11 )³ = 2⁵ × 5² + 200

Answer 1

\(\left(7x-11\right)^3=2^5\times5^2+200\)

\(\left(7x-11\right)^3=32\times25+200\)

\(\left(7x-11\right)^3=800+200\)

\(\left(7x-11\right)^3=1000\)

\(\left(7x-11\right)^3=10^3\)

\(\Rightarrow7x-11=10\)

\(7x=10+11\)

\(7x=21\)

\(x=21\div7\)

\(x=3\)

Answer 2

(7x-11)^3=2^5x5^2+200

(7x-11)^3=32x25+200

(7x-11)^3=800+200

(7x-11)^3=1000

(7x-11)^3=10^3

=>7x-11=10

7x=10+11

7x=21

x=21:7

x=3

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