Factorise a⁴-5a²-36
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a⁴-5a²-36
a⁴-9a²+4a²-36
a²( a²-9) +4( a²-9)
( a²+4)( a²-9 )
a²+4=0 , a²-9=0
a²=-4 , a²=9
a=-2 , a=3
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Easy :)
Step-by-step explanation:
a⁴-5a²-36
a⁴-9a²+4a²-36
a²( a²-9) +4( a²-9)
( a²+4)( a²-9 )
a²+4=0 , a²-9=0
a²=-4 , a²=9
but a square can not be negative. So the first part gives imaginary solution
from part 1 a=+2i and -2i
from second part a= +3 and -3
So a= +2i, -2i, +3, -3
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