Home
Class 10
MATHS
Show that x=-3 is sloustion of x^2+6x+9...

Show that x=-3 is sloustion of x^2+6x+9=0A

Text Solution

Verified by Experts

Putting x=-3 in the given equation, we get
LHS`=(-3)^(2)+6xx(-3)+9=(9-18+9)=0=RHS.`
Hence, `x=-3` is a solution of `x^(2)+6x+9=0.`
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

Show that x=-3 is solution of x^(2)+6x+9=0

Using factor theorem , show that g (x) is a factor of p(x) , when p(x)=2x^(4)+9x^(3)+6x^(2)-11x-6,g(x)=x-1

Show that x = 2 is a root of the equation |[x, -6, -1], [2, -3x, x-3], [-3, 2x, 2+x]|=0

Show that the equation 2x^(2)-6x+3=0 has real roots and find these roots.

Show that x=2 is a root of a polynomial x^(3)-6x^(2)+11x-6

Show that x+1 and 2x-3 are factors of 2x^(3)-9x^(2)+x+12

Show that x+1 and 2x-3 are factors of 2x^(3)-9x^(2)+x+12 .

Solve the following equation , 3x^2 +6x -9 =0

If f(x) f(x) ={((x^2-9)/(x-3)","" " xne3),(" 6""," " "x = 3"):} then show that f(x) is continuous at x=3.

Show that (x+1) and (2x-3) are factors of 2x^(3)-9x^(2)+x+12

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

    Text Solution

    |

  2. The sum of two natural numbers is 8 and their product is 15. Find the ...

    Text Solution

    |

  3. Show that x=-3 is sloustion of x^2+6x+9=0A

    Text Solution

    |

  4. Show that x=-2 is a solution of 3x^(2)+13x+14=0.

    Text Solution

    |

  5. If x=-(1)/(2) is a solution of the quadratic equation 3x^(2)+2kx-3=0, ...

    Text Solution

    |

  6. The roots of the quadratic equation 2x^2 - x - 6 = 0 are

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |