Home
Class 10
MATHS
Solve : sqrt(3)x^(2)+10x-8sqrt(3)=0....

Solve : `sqrt(3)x^(2)+10x-8sqrt(3)=0.`

Text Solution

Verified by Experts

The correct Answer is:
`x=-4sqrt(3)" or "x=(2)/(sqrt(3))`
`sqrt(3)x^(2)+10x-8sqrt(3)=0`
`impliessqrt(3)x^(2)+12x-2x-8sqrt(3)=0`
`impliessqrt(3)x(x+4sqrt(3))-2(x+4sqrt(3))=0`
`implies(x+4sqrt(3))(sqrt(3)x-2)=0impliesx=-4sqrt(3)" or "x=(2)/(sqrt(3)).`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4E|71 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|37 Videos

  • REAL NUMBERS

    RS AGGARWAL|Exercise Test Youself|20 Videos

Similar Questions

Explore conceptually related problems

3sqrt(3)x^(2)+10x+sqrt(3)

Solve: 4sqrt(3)x^(2)+5x-2sqrt(3)=0.

In the following,determine whether the given quadratic equations have real roots and if so, find the roots: sqrt(3)x^(2)+10x-8sqrt(3)=0 (ii) 3x^(2)-2x+2=0

Solve for x : sqrt3x^(2)+14x-5sqrt3=0

Solve 4 sqrt3 x ^(2) + 5x-2 sqrt3 =0

Find the nature of the roots of the quadratic equation 13 sqrt(3)x^(2)+10x+ sqrt(3)=0

Factorise sqrt(3)x^(2)+10x+3sqrt(3)

Complete the following activity to solve the quadratic equation sqrt(3) x^(2) +4x- 7 sqrt(3) = 0 by factorisation method : sqrt(3) x^(2) +4x- 7 sqrt(3) = 0 :. sqrt(3) x^(2) + square - 3x - 7 sqrt(3) = 0 :. x( sqrt(3) x + ) - sqrt(3) ( sqrt(3) x + 7) = 0 :. (" ") (x-sqrt(3))= 0 :. sqrt(3) x + 7 = 0 or square = 0 :. x = ( -7)/( sqrt(3)) or x = square :. (-7)/(sqrt(3)) and sqrt(3) are the roots of the equation.

Find the discriminant of the quadratic equation 3sqrt(3)x^(2)+10x+sqrt(3)=0

Solve 4sqrt3x^(2)+5x-2sqrt3=0 .

RS AGGARWAL-QUADRATIC EQUATIONS -Test Yourself
  1. The roots of the quadratic equation 2x^2 - x - 6 = 0 are

    Text Solution

    |

  2. Find the discriminant of the quadratic equation 3sqrt3x^2+10x+sqrt3=0.

    Text Solution

    |

  3. If the roots of the quadratic equation 2x^(2)+8x+k=0 are equal, find t...

    Text Solution

    |

  4. If the quadratic equation p x^2 - 2 sqrt(5)px + 15 = 0 has two equal ...

    Text Solution

    |

  5. If 1 is a root of the equation ay^(2)+ay+3=0" and "y^(2)+y+b=0 then fi...

    Text Solution

    |

  6. If one zero of the polynomial x^3-4x+1 is 2+sqrt3 write the other zero

    Text Solution

    |

  7. If one root of the quadratic equation 3x^(2)-10x+k=0 is reciprocal of ...

    Text Solution

    |

  8. Find the value of p for which the roots of the equation px (x — 2) + 6...

    Text Solution

    |

  9. Find the value(s) of k so that, the quadratic equation x^2 - 4kx + k =...

    Text Solution

    |

  10. Find the nonzero value of k for which the roots of the quadratic equat...

    Text Solution

    |

  11. Solve: x^2-(sqrt3+1)x+sqrt3 = 0

    Text Solution

    |

  12. Solve: 2x^2+a x-a^2=0

    Text Solution

    |

  13. Find the roots of the following quadratic equations by the factorisati...

    Text Solution

    |

  14. Solve : sqrt(3)x^(2)+10x-8sqrt(3)=0.

    Text Solution

    |

  15. Solve for x sqrt3x^2-2sqrt(2)x-2sqrt3=0

    Text Solution

    |

  16. Solve by factorization: 4sqrt(3)x^2+5x-2sqrt(3)=0

    Text Solution

    |

  17. Solve by factorization: 4x^2+4b x-(a^2-b^2)=0

    Text Solution

    |

  18. Solve x^(2)+5x-(a^(2)+a-6)=0.

    Text Solution

    |

  19. Solve for x: x^2+6x-(a^2+2a-8)=0

    Text Solution

    |

  20. Find the roots of each of the following equations, if they exist, by a...

    Text Solution

    |