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The roots of the equation (p+sqrt(q))^(x...

The roots of the equation `(p+sqrt(q))^(x^(2)-15)+(p-sqrt(q))^(x^(2)-15)=2p` , where `p^(2)-q=1`, are

A

`+-2,+-sqrt(3)`

B

`+-4,+-sqrt(14)`

C

`+-3,+-sqrt(5)`

D

`+-6,+-sqrt(20)`

Text Solution

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The correct Answer is:
B
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ML KHANNA-LOGARITHMS AND SURDS-Problem Set (2) (Multiple choice questions)
  1. The sum of the real roots of the equation |x-2|^(2)+|x-2|-2=0 is

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  2. The product of real roots of the equation |3x-4|^(2)-3|3x-4|+2=0 is

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  3. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has a. no solution b. o...

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  4. The number of the integer solutions of x^(2)+9lt(x+3)^(2)lt8x+25 is

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  5. The solution set of the inequality log(x)((x+3)/(1-2x))gt1 is

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  6. The least positive integer x satisfying |x+1|+|x-4|gt7 is

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  7. Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

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  8. The number of values of x satisfying 1+log(5)(x^(2)+1)gelog(5)(x^(2)+4...

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  9. The number of solutions the equation |x+1|^(log(x+1)(3+2x-x^(2)))=(x-3...

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  10. If log(5)(6+(2)/(x))+log((1//5))(1+(x)/(10))le1, then x lies in

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  11. The quadratic equations Sigma ((x-q)(x-r))/((p-q)(p-r))-1=0 or Sigma (...

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  12. The number of solutions of the equation root3((1+x))+root3((8-x))=3 i...

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  13. The number of solutions of the equation 2^(x)+2^(x-1)+2^(x-2)=5^(x)+5^...

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  14. The number of solutions of the equation 2x^(log(10)x)+3x^(log(10)(1//x...

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  15. The system of equation |x-1|+3y=4,x-|y-1|=2 has

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  16. The roots of the equation 2^(x+2)27^(x//(x-1))=9 are given by

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  17. If 2^(x+y)=6^(y) and 3^(x-1)=2^(y+1), then the value of (log3-log2)//(...

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  18. If (7-4sqrt(3))^(x^(2)-4x+3)+(7+4sqrt(3))^(x^(2)-4x+3)=14, then the va...

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  19. If (5+2sqrt6)^(x^(2)-3)+(5-2sqrt6)^(x^(2)-3)=10, then x =

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  20. The roots of the equation (p+sqrt(q))^(x^(2)-15)+(p-sqrt(q))^(x^(2)-15...

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