Answer:
y = 4
Step-by-step explanation:
Answer:
Image result for If y is a positive integer, for how many different values of y is, ∛144/a whole number brainly
2 different values
Therefore, "y" must be a factor of 144. Therefore, for 2 different values of "y" ( and ) is a whole number
example
We need the remember that:
Therefore, the radicand (In this case ) must be a perfect cube in order to get a whole number.
Remember that a perfect cube are the numbers that have exact cube roots. Therefore, "y" must be a factor of 144.
Now, we need to descompose 144 into its prime factors:
Then, the factors of 144 are:
Substitute values into to check:
Given, (9x - 4)(9x + 4) = ax² - b
From algebraic identities:
We know, (a + b)(a - b) = a² - b²
Now, 81x² + 36x - 36x - 16 = ax² - b
81x² - 16 = axis² - b
So ax² = 81x²
a = 81
-b = -16
b = 16
Solution
Therefore, the value of a is 81.
<h2>MyHeritage</h2>