Find four solutions to the equation (x² − 9)(x^4 − 16) = 0.

±3, ±2

Step-by-step explanation:

We have to find all the four roots of the equation =0.

Now, if product of two factors of an expression a and b is equal to 0 then, either a=0 or b=0

Therefore, from the equation =0. we can write,

=0 ..... (1)

or ..... (2)

Now, from equation (1), x² =9, ⇒ x= ±3

Again from equation (2), , ⇒x= ±2.

Therefore, the four solutions of x are ±3 and ±2. (Answer)

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step-by-step explanation:

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