Home
Class 10
MATHS
Write the sum of real roots of the equat...

Write the sum of real roots of the equation `x^2+|x|-6=0`

Text Solution

Verified by Experts

First of all, the equation is `x^2 + |x| − 6 = 0 `
CASE 1: `x>0 then |x| = x ⇒ x^2 + x− 6 = 0 `
`⇒ x^2 + 3x – 2x – 6 = 0 `
`⇒ (x + 3)(x−2) = 0 `
...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos
  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos

Similar Questions

Explore conceptually related problems

Write the number of real roots of the equation x^(2)+3|x|+2=0

Sum of the real roots of the equation x^(2)+5|x|+6=0

Sum of the roots of the equation x^2 +7x+10=0

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

The sum of real roots of the equation |x-2|^(2)+|x-2|-2=0 is (A)4(B)1(C)2(D)-2

The sum of the roots of the equation x^(2)-6x+2=0 is

The number of real roots of the equation |x^(2)|-5|x|+6=0 is

The sum of the roots of the equation |x^(2)-x-6|=x+2 is

The sum of the two roots of the equation x^(2)-5x+6=0 is

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. A pole has to be erected at a point on the boundary of a circular park...

    Text Solution

    |

  2. If 1+sqrt(2) is a root of a quadratic equation with rational coefficie...

    Text Solution

    |

  3. Write the sum of real roots of the equation x^2+|x|-6=0

    Text Solution

    |

  4. If the equation x^2-a x+1=0 has two distinct roots, then |a|=2 (b) |a|...

    Text Solution

    |

  5. If one root of the equation 2x^2+b x+c=0 is three times the other, th...

    Text Solution

    |

  6. If one root of the equation 4x^2-2x+(lambda-4)=0 be the reciprocal of ...

    Text Solution

    |

  7. One fourth of a herd of camels was seen in the forest. Twice the squar...

    Text Solution

    |

  8. Out of a group of swans 7/2 times the square root of the number are p...

    Text Solution

    |

  9. The difference of the squares of two numbers is 45. The square of the ...

    Text Solution

    |

  10. If the sum of first n even natural numbers is 420, find the value of ...

    Text Solution

    |

  11. If 1 is the root of equation 3x^2+ax-2=0 and the quadratic equation a(...

    Text Solution

    |

  12. The sum of the squares of three consecutive natural numbers is 149. ...

    Text Solution

    |

  13. The sum of two numbers is 9. The sum of their reciprocals is ½. Find ...

    Text Solution

    |

  14. A two digit number is such that the product of its digits is 18. When ...

    Text Solution

    |

  15. The denominator of a fraction is one more than twice the numerator. If...

    Text Solution

    |

  16. A two digit number is four times the sum and three times the product o...

    Text Solution

    |

  17. To fill swimming pool two pipes are to be used. If the pipe of larger ...

    Text Solution

    |

  18. Two water taps together can fill a tank in 9 3/8 hours. The tap of ...

    Text Solution

    |

  19. A shop keeper buys a number of books for Rs.80. If he had bought 4 mor...

    Text Solution

    |

  20. An electric cable costs Rs. 200. If the cable was 2m longer and each m...

    Text Solution

    |