Home
Class 12
MATHS
If 3x^(3//2)=4 , then x=...

If `3x^(3//2)=4` , then x=

A

1.12

B

1.21

C

1.34

D

1.49

Text Solution

Verified by Experts

The correct Answer is:
B

Plot the graph of `y=3x^(3//2)-4` in the standard window and use CALC/zero to find the correct answer choice.
An alternative solution is to divide the equation by 3 to get `x^(3//2) = 4/3` and then raise both sides to the `2/3` power: `x=(4/3)^(2//3) = 1.21`.
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST 5

    ENGLISH SAT|Exercise MCQs|50 Videos
  • PARAMETRIC EQUATIONS

    ENGLISH SAT|Exercise EXERCISES|3 Videos

Similar Questions

Explore conceptually related problems

if y=3x^3+2x+4 , then intydx will be

If (3x+2)/(2x+3)=(4x+3)/(3x+4) , then x =

If px^(4)+qx^(3)+rx^(2)+sx+t=|{:(x^(2)+3x,x-1,x+3),(x^(2)+1,2-x,x-3),(x^(2)-3,x+4,3x):}| then t is equal to

If alpha , beta , gamma are the roots of x^3 + 3x^2 -4x +2=0 then the equation whose roots are (1)/( alpha beta) ,(1)/( beta gamma) ,(1)/( gamma alpha) is

If the sum of the zeros of the polynomial f(x)=2x^3-3k x^2+4x-5 is 6 , then the value of k is (a) 2 (b) 4 (c) -2 (d) -4

If Delta (x) =|{:(x^(2)-5x+3,2x-5,3),(3x^(2)+x+4,6x+1,9),(7x^(2)-6x+9,14x-6,21):}| = ax^(3) +bx^(2)+cx+d , then

The equation whose roots are multiplied by 3 of those of 2x^(3) - 3x^(2) + 4x - 5 = 0 is

If int _(0)^(2)(3x ^(2) -3x +1) cos (x ^(3) -3x ^(2)+4x -2) dx = a sin (b), where a and b are positive integers. Find the value of (a+b).

If g(x)=x^3+x-2 and g(f(x))=x^3+3x^2+4x then f(1)+f(2) is equal to ________

In how many points the graph of f(x)=x^3+2x^2+3x+4 meets the x-axis ?

ENGLISH SAT-MODEL TEST 6-MCQS
  1. What number should be added to each of the three numbers, 3,11 and 27 ...

    Text Solution

    |

  2. What is the equation of the set of points that are 5 units from point ...

    Text Solution

    |

  3. If 3x^(3//2)=4 , then x=

    Text Solution

    |

  4. If f(x)=x^(3)-4, then the inverse of f=

    Text Solution

    |

  5. If f is an odd function and f(a)=b, which of the following must also b...

    Text Solution

    |

  6. For all theta, tan theta+ cos theta + tan (-theta) + cos(-theta)=

    Text Solution

    |

  7. The period of the function f(x)=k cos kx is (pi)/(2). The amplitude o...

    Text Solution

    |

  8. If f(x)=(x+2)/((x+2)(x^(2)-4)), its graph will have

    Text Solution

    |

  9. At a distance of 100 feet, the angle of elevation from the horizontal ...

    Text Solution

    |

  10. A sphere has a surface area of 36 pi . Its volume is

    Text Solution

    |

  11. A pair of dice is tossed 10 times. What is the probability that no 7s ...

    Text Solution

    |

  12. The lengths of two sides of a triangle are 50 inches and 63 inches. Th...

    Text Solution

    |

  13. Which of the following is an equation of a line that is perpendicular ...

    Text Solution

    |

  14. What is the period of the graph of the function y=(sinx)/(1+cosx) ?

    Text Solution

    |

  15. For what values of k are the roots of the equation kx^(2)+4x+k=0 real...

    Text Solution

    |

  16. Minor defects are found on 7 to 10 new cars. If 3 of the 10 cars are s...

    Text Solution

    |

  17. If f(x)=3x^(2)+24x-53 , find the negative value of f^(-1)(0).

    Text Solution

    |

  18. If log(b)x=0.2, and log(b)y=0.4, what is the relationship between x an...

    Text Solution

    |

  19. If 7^(x-1) = 6x , find x .

    Text Solution

    |

  20. A red box contains eight items , of which three are defective, and a b...

    Text Solution

    |