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The equation x^((3//4))(log 2 x)^2 +...

The equation ` x^((3//4))(log _2 x)^2 + log _2 x-5//4 ` = `sqrt(2)` has

A

exactly two real roots

B

no real root

C

one irrational root

D

one of these

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. Solve 7^(1+x)+7^(1-x)=50 for real x.

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  2. IF e^((cos ^2 x + cos ^4 + cos ^6 x+ . . . ) log 3) satissfies y^...

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  3. The equation x^((3//4))(log 2 x)^2 + log 2 x-5//4 = sqrt(2) ...

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  4. The number of real of the equation (2x -3)/(x-1) +1 =(6x^2 -x-6)/(...

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  5. The equation e^(sin x)-e^(-sin x)-4=0 has

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  6. The number of solutions of the system of equation given below...

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  7. The number of solution of the equation 9x^2-18|x|+5=0 belonging...

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  8. The number of solutions of the equation 5^x + 5^(-x)= log (10) 25...

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  9. IF the equation ax+by=1, cx ^2 +dy^2 =1 have only one solution ...

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  10. If a+b+c=0 then the quadratic equation 3ax^2+2bx+c=0 has at least one ...

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  11. If 2a+3b+6c =0 then the equation ax ^2 + bx +c=0 has atlest one ...

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  12. Let P(x) be a polynomial with integral coefficients . If there ...

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  13. IF 0< a<b<c<d , then the quadratic j equation ax ^2 +[1-a(b+c)x+ab...

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  14. alpha and beta are the roots of the equation x^2 +px +p^3 =0...

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  15. Find all number which exceed their square root by 12

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  16. The two consecutive positive odd integers such that the sum o...

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  17. Find two consecutive positive even integers, the sum of whose squares ...

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  18. The number having two digits such that it is 4 times the sum...

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  19. A number of two digit s whose product is 30 . If the digits are ...

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  20. The sum of the ages of a father and a son is 45 years . Fi...

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