What substitution should be used to rewrite 16(x3 + 1)2 – 22(x3 + 1) – 3 = 0 as a quadratic equation?

ANSWER:  

We need the substitution of + 1 = t, to make given equation into quadratic equation.

SOLUTION:

Given, equation is   → (1)

Above given equation is having highest power as 6, so it is not an quadratic equation.

We need to perform an substitution so that above equation turns to quadratic equation.

We know that, general form of a quadratic equation is given by :

Now, compare the general form and the equation we have.

Where, a = 16, b = -22 and c =-3

Hence, we need the substitution of + 1 = t, to make given equation into quadratic equation.

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