Home
Class 12
MATHS
Find the product of the real roots of th...

Find the product of the real roots of the equation, `x^2+18x +30=2sqrt(x^2+18x+45)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the product of the roots of the equation 9x^2-18|x|+5=0

If product of the real roots of the equation, x^(2)-ax+30=2sqrt((x^(2)-ax+45)),agt0 is lamda minimum value of sum of roots of the equation is mu . The value of (mu) (where (.) denotes the least integer function) is

The sum of the real roots of the equation 2x-3=sqrt(2x^(2)-2x+21) is

Find the roots of the equation 2x^(2)-9x-18=0

The product of the real roots of the equation |2x + 3|^(2) -3|2x + 3| + 2 = 0 , is

Find the product of the positive roots of the equation sqrt2009(x)^(log_(2009)(x))=x^2 .

Find the product of the positive roots of the equation sqrt((2008)(x))^((log)2008^(x))=x^(2)

Find the product of the positive roots of the equation sqrt(2017)(x)^(log_(017)x)=x^(2)

Find the number of real roots of the equation f(x) =x^(3) + 2x^(2) +x +2 =0

Product of roots of the equation x - sqrt(3 x - 6) = 2 is

RESONANCE DPP-JEE MAINS-All Questions
  1. Let f(theta)=1/(1+(tantheta)^(2013)) then value ofsum(theta=1^(@))^(8 ...

    Text Solution

    |

  2. A circle centred at 'O' has radius 1 and contains the point A. Segment...

    Text Solution

    |

  3. Find the product of the real roots of the equation, x^2+18x +30=2sqrt(...

    Text Solution

    |

  4. if siny=xsin(a+y) and (dy)/(dx)=(A)/(1+x^(2)-2xcosa) then the value of...

    Text Solution

    |

  5. The inequality [2-x]+2[x-1]geq0 is satisfied by (where[.] denotes grea...

    Text Solution

    |

  6. If f(x) satisfies the requirements of Lagrange's mean value theorem on...

    Text Solution

    |

  7. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  8. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

    Text Solution

    |

  9. Integrate : int((x+sqrt(1+x^2))^(2009))/(sqrt(1+x^2))dx

    Text Solution

    |

  10. If alpha,beta are the roots of the equation x^2+alphax+beta=0 such tha...

    Text Solution

    |

  11. int(dx)/(tanx+cotx+secx+cos e c x)=

    Text Solution

    |

  12. If alpha,beta,gamma are the real roots of the equation, x^3-3p x^2+3q ...

    Text Solution

    |

  13. Comprehension # 'A ray M is sent along the line (x-0)/2=(y-2)/2=(z-1)...

    Text Solution

    |

  14. Equation of a straight line passing through the origin and making with...

    Text Solution

    |

  15. If the normal to differentiable curve y = f(x) at x = 0 be given by th...

    Text Solution

    |

  16. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  17. Let the co-ordinates of the two points A&B be (1, 2) and (7, 5) respec...

    Text Solution

    |

  18. int\ (x+1)/(x(1+x \ e^x)^2) \ dx equals

    Text Solution

    |

  19. If (log)a b=2,(log)b c=2 and (log)3c=(log)3a+3, then (a+b+c) is equal ...

    Text Solution

    |

  20. Number of integral solutions of the equation (log)(x-3)((log)(2x^2-2x+...

    Text Solution

    |