Home
Class 10
MATHS
If the product of two consecutive intege...

If the product of two consecutive integers is 306, write its quadratic representation.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+x-306=0` is the required quadratic equation.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (SHORT ANSWER (SA) TYPE - 1 - QUESTIONS)|28 Videos
  • QUADRATIC EQUATIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (SHORT ANSWER (SA) TYPE - 2 - QUESTIONS)|18 Videos
  • QUADRATIC EQUATIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (MULTIPLE - CHOICE QUESTIONS) (Four alternatives are suggested to each of the following questions/incomplete statements. Choose the most appropriate alternative and write the letter of the chosen answer in the space provided. )|11 Videos
  • PROBABILITY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|24 Videos
  • REAL NUMBERS

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS(LONG ANSWER TYPE QUESTIONS )|5 Videos

Similar Questions

Explore conceptually related problems

The product of two consecutive odd numbers is 99.

" The product of two consecutive positive integers is 30. " This can be expressed algebraically as

Represent the following situations in the form of quadratic equations : The product of two consecutive positive integers is 306. We need to find the Integers.

"The product of two consecutive positive integers is 30". This can be expressed algebraically as.

If the sum of m consecutive odd integers is m^(4) , then the first integer is

Product of 4 consecutive natural numbers is divisible by

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of three consecutive integers is divisible by 6.

The product of two consecutive natural numbers is 12. the form of this statement is :

If the roots of x^2-b x+c=0 are two consecutive integers, then b^2-4c is

Prove that the product of any two consecutive positive integers is divisible by 2.

ZEN PUBLICATION-QUADRATIC EQUATIONS-ZEN ADDITIONAL QUESTIONS (VERY SHORT ANSWER (VSA) QUESTIONS)
  1. If a=0 in the quadratic equation ax^(2)+bx+2=0, which type of equation...

    Text Solution

    |

  2. What is the nature of the roots of the quadratic equation if its discr...

    Text Solution

    |

  3. Is (x+1)^(2)=x^(2)+4x+4 quadratic?

    Text Solution

    |

  4. Write the quadratic formula to find the roots of ax^(2)+bx+c=0.

    Text Solution

    |

  5. Is -sqrt(3) a root of the equation x^(2)+(sqrt(3)+1)x+sqrt(3)=0 ?

    Text Solution

    |

  6. Find the positive root of sqrt(3x^(2)+6)=9.

    Text Solution

    |

  7. What are the roots of the quadratic equation sqrt(3)x^(2)-2x-sqrt(3)=0...

    Text Solution

    |

  8. If x= 3 is solution of 3x^(2)+(K-1)x+9=0, find K.

    Text Solution

    |

  9. What is the value x+1/x for the quadratic equation x^(2)-2x+1=0?

    Text Solution

    |

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

    Text Solution

    |

  11. What is the nature of the roots of the quadratic equation 5x^(2)-2x-3=...

    Text Solution

    |

  12. Which constant term is to be added to make the LHS of ax^(2)+bx=0 a pe...

    Text Solution

    |

  13. If the discriminant of the equation 6x^(2)-bx+2=0 is equal to 1, find ...

    Text Solution

    |

  14. If the discriminant of 3x^(2)+2x+a=0 is double the discriminant of x^(...

    Text Solution

    |

  15. Find K for which equation 4x^(2)+4sqrt(3)x+K=0 has equal roots.

    Text Solution

    |

  16. If the quadratic equation mx^(2)+2x+m=0 has two equal roots, find m?

    Text Solution

    |

  17. If the product of two consecutive integers is 306, write its quadratic...

    Text Solution

    |

  18. Write the quadratic equation which has 5 as the product of its two roo...

    Text Solution

    |

  19. Find the value of the discriminant of the quadratic equation 2x^(2)-4x...

    Text Solution

    |

  20. Write, (x+1)/2 = (1/x) in the standard from of a quadratic eqation.

    Text Solution

    |