Home
Class 12
MATHS
Find the number of roots of the equation...

Find the number of roots of the equation `e^(x) = sqrt (-x)`.

Text Solution

AI Generated Solution

To find the number of roots of the equation \( e^x = \sqrt{-x} \), we can follow these steps: ### Step 1: Understand the Functions We have two functions to analyze: 1. \( y_1 = e^x \) 2. \( y_2 = \sqrt{-x} \) ### Step 2: Determine the Domain ...
Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF ELEMENTARY FUNCTIONS

    CENGAGE ENGLISH|Exercise EXERCISES|34 Videos
  • GRAPHS OF POLYNOMIAL AND RATIONAL FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|17 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|22 Videos

Similar Questions

Explore conceptually related problems

let f (x) = int _(0) ^(x) e ^(x-y) f'(y) dy - (x ^(2) -x+1)e ^(x) Find the number of roots of the equation f (x) =0.

Find the number of roots of the equation xlog_(e)x= 1 .

Find the number of roots of the equation 7^(|x|)(|5-|x||)=1

Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(2))/(2), where a is positive constant.

Find the number of roots of the equation log_(e)(1+x)-(tan^(-1)x)/(1+x)=0

Find the number of real roots of the equation f(x) =x^(3) + 2x^(2) +x +2 =0

Find the number of solution of the equation 1+e^(cot^2x)=sqrt(2|sinx|-1)+(1-cos2x)/(1+sin^4x) for x in (0,5pi)dot

The number of roots of the equation, x-(2)/(x-1) is

Find the number of roots of the equation x sin x = 1, x in [-2pi, 0) uu (0, 2pi] .

Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=0.

CENGAGE ENGLISH-GRAPHS OF ELEMENTARY FUNCTIONS -EXERCISES
  1. Find the number of roots of the equation e^(x) = sqrt (-x).

    Text Solution

    |

  2. Draw the graph of y= (1)/((1//x)).

    Text Solution

    |

  3. (a) Draw the graph of f(x) = ={{:(1",",, |x| ge 1), ((1)/(n^(2)) ",",,...

    Text Solution

    |

  4. Sketch the regions which points satisfy |x+y| ge 2.

    Text Solution

    |

  5. Sketch the region satisfying |x| lt |y|.

    Text Solution

    |

  6. For a point P in the plane, let d1(P)a n dd2(P) be the distances of th...

    Text Solution

    |

  7. Draw the graph of y= (x-1)/(x-2).

    Text Solution

    |

  8. The following figure shows the graph of f(x) =ax^(2)+bx +c, then find ...

    Text Solution

    |

  9. The entire graph of the equation y=x^2+k x-x+9 in strictly above the x...

    Text Solution

    |

  10. If x^2+2a x+a<0AAx in [1,2], the find the values of a.

    Text Solution

    |

  11. Draw the graph of f(x) = x|x|.

    Text Solution

    |

  12. Draw the graph of the function: Solve |(x^2)/(x-1)|lt=1 using the grap...

    Text Solution

    |

  13. Draw the graph of y = |x^(2) - 2x|-x.

    Text Solution

    |

  14. Draw the graph of y = {{:(2^(x)",",, x^(2)-2x le 0 ),( 1+3.5 x- x^(2),...

    Text Solution

    |

  15. Draw the graph of f(x) = |x-1|+ |2x-3|. Find the range of the functio...

    Text Solution

    |

  16. Draw the graph of f(x) =y= |x-1|+3|x-2|-5|x-4| and find the values of ...

    Text Solution

    |

  17. Find the set of real value(s) of a for which the equation |2x+3|+|2x-3...

    Text Solution

    |

  18. Draw the graph of y= 2^(((|x|+x))/(x)).

    Text Solution

    |

  19. Draw the graph of y= x ^((1)/(log(e)x)).

    Text Solution

    |

  20. Find the number of solutions to the equation x+log(e)x=0.

    Text Solution

    |

  21. Draw the graph of f(x)=x+[x], [.] denotes greatest integer function.

    Text Solution

    |