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Number of imaginary roots of (x+1)1/2+(x-1)1/2=1,is (a) 0 (b) 1 (c)2 (d)4
Number of imaginary roots of (x+1)1/2+(x-1)1/2=1,is
(a) 0
(b) 1
(c)2
(d)4
on squaring both sides, we have x+1+x-1+2(x2-1)1/2 =1 so, we have 2x + 2(x2-1)1/2=1 or 1-2x = 2(x2-1)1/2 on squaring both sides again we have 1+4x2 -4x = 4x2 -4 so , x = 5/4 so roots are real no imaginery roots option is A
on squaring both sides, we have
x+1+x-1+2(x2-1)1/2 =1
so, we have
2x + 2(x2-1)1/2=1
or 1-2x = 2(x2-1)1/2
on squaring both sides again we have
1+4x2 -4x = 4x2 -4
so , x = 5/4 so roots are real
no imaginery roots
option is A
Mr. Ramesh, I have a doubt here, I solved this q and got x=5/4 as the answer but as my teacher always asks me to substitute the value I got in the given equation and see whether it satisfies or not. In this case x=5/4 does not satisfy the eqn. So, there is no real root but 1 imaginary root.
Mr. Ramesh,
I have a doubt here,
I solved this q and got x=5/4 as the answer but as my teacher always asks me to substitute the value I got in the given equation and see whether it satisfies or not.
In this case x=5/4 does not satisfy the eqn.
So, there is no real root but 1 imaginary root.
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