Factorize : 9x² – (x² − 4)²
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Answer:
3x
Explanation:
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Values of x = +1, -1, +4, -4
Explanation:
Given: 9x² – (x² − 4)² = 0
9x² - (x^4 - 8x² + 16) = 0
9x² - x^4 + 8x² - 16 = 0
-x^4 + 17x² - 16 = 0
x^4 - 17x² + 16 = 0
x^4 - 1x² - 16x² + 16 = 0
x² (x² - 1) - 16 (x² - 1) = 0
(x² - 1) (x² - 16) = 0
If x² - 1 = 0, x = +/- 1
If x² - 16 = 0, x = +/- 4
Hence solved.
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