Question

1) Ifp= 21/3+ 2_1/3, show that 2p3 - 6p = 5

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Answer 1

Answer:

Let the first odd number be x and the next odd number be (x + 2)

x(x+2) = 255x(x+2)=255

\Rightarrow x^2 + 2x = 255⇒x2+2x=255

\Rightarrow x^2 + 2x + 1 = 255 + 1⇒x2+2x+1=255+1

\Rightarrow (x+1)^2=256⇒(x+1)2=256

\Rightarrow x+1=\sqrt{256}=16⇒x+1=256=16

\Rightarrow x = 16-1 = 15⇒x=16−1=15

The next consecutive odd number = 15 + 2 = 17

Hope it helped