Question

\(\left(x-\dfrac{1}{2}\right)^3-2^4=2^3.6\)

Answer 1

\(\left(x-\dfrac{1}{2}\right)^3-2^4=2^3.6\\ \left(x-\dfrac{1}{2}\right)^3-16=8.6\\ \left(x-\dfrac{1}{2}\right)^3-16=48\\ \left(x-\dfrac{1}{2}\right)^3=48+16\\ \left(x-\dfrac{1}{2}\right)^3=64\\ x-\dfrac{1}{2}=4\\ x=4+\dfrac{1}{2}\\ x=\dfrac{9}{2}\)

Answer 2

\(\left(x-\dfrac{1}{2}\right)^3-2^4=2^3.6\)

\(\left(x-\dfrac{1}{2}\right)^3-16=8.6\)

\(\left(x-\dfrac{1}{2}\right)^3-16=48\)

\(\left(x-\dfrac{1}{2}\right)^3=48+16\)

\(\left(x-\dfrac{1}{2}\right)^3=64\)

\(\left(x-\dfrac{1}{2}\right)^3=4^3\)

\(x-\dfrac{1}{2}=4\)

\(x=4+\dfrac{1}{2}\)

\(x=\dfrac{9}{2}\)