Question

If A and B are the roots of the quadratic equation x2 – 12x + 27 =0, then A3+B³ is 1 (a) 27 (b) 729 (c) 756 (d) 64​

Answer 1

Answer:

the answer is option c) 756

Answer 2

The answer is 756

GIVEN

If A and B are the roots of the quadratic equation x² – 12x + 27 =0.

TO FIND

The value of A³ + B³

SOLUTION

We can simply solve the above problem as follows;

We are given a quadratic equation;

x² - 12x + 27 = 0

Let us first solve the above equation for x

x² -9x -3x + 27

x (x-9) -3(x - 9)

x - 3 = 0 & x - 9 = 0

x = 3 & x = 9

Therefore,

A = 3 & B = 9

Now,

A³ + B³ = 3³ + 9³ = 27 + 729 = 756

Hence, The answer is 756

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