Question

find the value of (x3-1/x3) if x/2=1/2x+1​

Answer 1

Answer:

a3−b3=(a−b)(a2+b2+ab)

So,

x3−x31​=(x−x1​)(x2+x21​+x×x1​)

=(x−x1​)(x2+x21​+1)

=(x−x1​)(51+1)

=52(x−x1​)

Now,

(x−x1​)2=x2+x21​−2x×x1​

(x−x1​)2=51−2=49

x−x1​=49

​=7

Therefore,

x3−x31​=52(x−x1​)

=52×7

=364

Step-by-step explanation:

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