Home
Class 10
MATHS
Solve the following quadratic equation f...

Solve the following quadratic equation for `xdot` `x^2-4a x-b^2+4a^2=0`

Text Solution

Verified by Experts

The correct Answer is:
`x=(2a+b)" or "x=(2a-b)`
`x^(2)-4ax+(2a+b)(2a-b)=0impliesx^(2)-(2a+b)x-(2a-b)x+(4a^(2)-b^(2))=0.`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4B|16 Videos

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4C|36 Videos

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Test Yourself|55 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

Solve the following quadratic equation for x.x^(2)-4ax-b^(2)+4a^(2)=0

Solve the following quadratic equation for x:4x^(2)+4bx-(a^(2)-b^(2))=0

Solve the following quadratic equation: x^(2)+4ix-4=0

Solve the following quadratic equation: ix^(2)-4x-4i=0

Solve the following quadratic equation: ix^(2)-x+12i=0

Solve the following quadratic equation x^(2) + 8x +15 =0

Solve the following quadratic equation : 4sqrt3x^(2)+5x-2sqrt3=0

Solve the following quadratic: 4x^(2)+1=0

Solve each of the following quadratic equations: x^(2)-2ax-(4b^(2)-a^(2))=0

Solve the following quadratic equations by formula method, x^2 - 4x +1 =0

RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4A
  1. Solve each of the following quadratic equations: x^(2)+6x-(a^(2)+2a-...

    Text Solution

    |

  2. Solve the following equations by using quadratic formula: abx^(2)+(b...

    Text Solution

    |

  3. Solve the following quadratic equation for xdot x^2-4a x-b^2+4a^2=0

    Text Solution

    |

  4. Solve each of the following quadratic equations: 4x^(2)-2(a^(2)+b^(2...

    Text Solution

    |

  5. Solve the following quations by using qardratic formula: 12abx^(2)-(...

    Text Solution

    |

  6. Solve each of the following quadratic equations: a^(2)b^(2)x^(2)+b^(...

    Text Solution

    |

  7. Solve for x: 9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0

    Text Solution

    |

  8. Solve each of the following quadratic equations: (16)/(x)-1=(15)/(x+...

    Text Solution

    |

  9. Solve each of the following quadratic equations: (4)/(x)-3=(5)/(2x+3...

    Text Solution

    |

  10. Solve each of the following quadratic equations: (3)/(x+1)-(1)/(2)=...

    Text Solution

    |

  11. Solve each of the following quadratic equations: (i)(1)/(x-1)-(1)/(x...

    Text Solution

    |

  12. Solve for: 1/(2a+b+2x)=1/(2a)+1/b+1/(2x)

    Text Solution

    |

  13. Solve each of the following quadratic equations: (x+3)/(x-2)-(1-x)/(...

    Text Solution

    |

  14. Solve each of the following quadratic equations: (3x-4)/(7)+(7)/(3x-4...

    Text Solution

    |

  15. Solve each of the following quadratic equations: (i) (x)/(x-1)+(x-1)...

    Text Solution

    |

  16. Solve each of the following quadratic equations: (x)/(x+1)+(x+1)/(x)...

    Text Solution

    |

  17. Solve each of the following quadratic equations: (x-4)/(x-5)+(x-6)/(...

    Text Solution

    |

  18. Solve each of the following quadratic equations: (x-1)/(x-2)+(x-3)/(...

    Text Solution

    |

  19. Solve each of the following quadratic equations: (1)/(x-2)+(2)/(x-1)...

    Text Solution

    |

  20. Solve each of the following quadratic equations: (i) (1)/(x+1)+(2)/(...

    Text Solution

    |