plz ans fast
tell me step by step
factorise it
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Hey!!!
Good Evening
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We have
=> x⁴ - 169x² + 3600 = 0
Let x² = a
=> a² - 169a + 3600 = 0
=> a² - 144a - 25a + 3600 = 0
By Middle term splitting
=> 3600 = 144 x 25
Thus
=> a(a - 144) - 25(a - 144) = 0
=> (a - 25)(a - 144) = 0
Thus
=> a = 25 or a = 144
But
=> a = x²
Thus
=> x² = 25 or x² = 144
Thus we have
=> x = 5 , - 5 , 12 or - 12
________________
Hope this helps ✌️
Good Evening
_________________
We have
=> x⁴ - 169x² + 3600 = 0
Let x² = a
=> a² - 169a + 3600 = 0
=> a² - 144a - 25a + 3600 = 0
By Middle term splitting
=> 3600 = 144 x 25
Thus
=> a(a - 144) - 25(a - 144) = 0
=> (a - 25)(a - 144) = 0
Thus
=> a = 25 or a = 144
But
=> a = x²
Thus
=> x² = 25 or x² = 144
Thus we have
=> x = 5 , - 5 , 12 or - 12
________________
Hope this helps ✌️
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