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The equation x^((3)/4 (log2x)^2+log2 x -...

The equation `x^((3)/4 (log_2x)^2+log_2 x -(5)/(4))=sqrt(2)` has :

A

has at least one real solution

B

has exactly three real solutions

C

has exactly one irrational solution

D

all of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. If a, b, c are real and x^3-3b^2x+2c^3 is divisible by x -a and x - b,...

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  2. if p and q are non zero constants, the equation x^2+px+q=0 has roots ...

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  3. The equation x^((3)/4 (log2x)^2+log2 x -(5)/(4))=sqrt(2) has :

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  4. cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0, then the va...

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  5. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

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  6. If b gt a, then the equation (x-a)(x-b)-1=0 has (a) Both roots in (a...

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  7. If a,b,c epsilonQ then roots of the equation (b+c-2a)x^(2)+(c+a-2b)x+(...

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  8. If a,b,c are positive real numbers, then the number of real roots of t...

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  9. Real roots of equation x^2 + 5 |x| + 4 = 0 are

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  10. If aa n db(!=b) are the roots of the equation x^2+a x+b=0, then find t...

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  11. If f(x) = (x^2 -2x + 4)/(x^2+2x+4), x in R then range of function is

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  12. If a lt c lt b then the roots of the equation (a−b)x^2 +2(a+b−2c)x+1=0...

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  13. If alpha, beta are the roots of the quadratic equation x^2 + bx - c = ...

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  14. If alpha , beta are roots of ax^(3) +bx +c=0 then the equation ax^...

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  15. If alpha ne beta but alpha^(2)= 5 alpha - 3 and beta ^(2)= 5 beta...

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  16. The expression y = ax^2+ bx + c has always the same sign as of a if (A...

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  17. If alpha,betaa n dgamma are the roots of x^2+8=0 then find the equatio...

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  18. Given that a x^2+b x+c=0 has no real roots and a+b+c<0, then c!=0 b. c...

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  19. If x in R, then the expression 9^(x) - 3^(x) + 1 assumes

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  20. The values of 'a' for which the roots of the equation x^(2) + x + a = ...

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