Home
Class 12
MATHS
Show that x^(2)-3|x|+2=0 is an equation....

Show that `x^(2)-3|x|+2=0` is an equation.

Text Solution

AI Generated Solution

To show that \( x^2 - 3|x| + 2 = 0 \) is an equation, we need to confirm that it meets the criteria of an equation, which is a mathematical statement that asserts the equality of two expressions. ### Step-by-Step Solution: 1. **Identify the Expression**: The expression given is \( x^2 - 3|x| + 2 \). 2. **Set the Expression Equal to Zero**: ...
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|11 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|10 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

Similar Questions

Explore conceptually related problems

Show that y^2-x^2 - x y=a is a solution of the differential equation (x-2y)(dy)/(dx)+2x + y=0

Show that 2x^3 +5x^2 +5x +2=0 is a reciprocal equation of class one .

Show that x = 2 is a root of the equation |{:(x, -6, -1),(2,- 3x,x-3),(-3," "2x,x+2):}| = 0 and solve it completely.

Show that x=2 is a root of the equation |(x,-6,-1),( 2,-3x,x-3),(-3,2x,x+2)| =0 and solve it completely.

For the quadratic equation 3x^(2)+5x-2=0 , show that : (i) x=(1)/(3) is a solution. (ii) x=3 is not a solution.

If alpha and beta are the roots of equation 2x^(2)-x-3=0 , then find a equation having roots (2alpha+3)and(2beta+3) .

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

Show that (3,4) and (0,6) are the solutions of the equation 2x+3y=18

Show that the equation 2x^(2)-6x+7=0 has no real root.

Show that x y=a e^x+b e^(-x)+x^2 is a solution of the differential equation x(d^2y)/(dx^2)+2dy/dx-x y+x^2-2=0.

ARIHANT MATHS ENGLISH-THEORY OF EQUATIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Show that x^(2)-3|x|+2=0 is an equation.

    Text Solution

    |

  2. In the quadratic equation ax^2 + bx + c = 0. if delta = b^2-4ac and al...

    Text Solution

    |

  3. Let S denote the set of all polynomials P(x) of degree lt=2 such th...

    Text Solution

    |

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

    Text Solution

    |

  5. If the equation a(n)x^(n)+a(n-1)x^(n-1)+..+a(1)x=0, a(1)!=0, n ge2, ha...

    Text Solution

    |

  6. If both the roots of the quadratic equation x^(2)-2kx+k^(2)+k-5=0 are ...

    Text Solution

    |

  7. Let aa n db be the roots of the equation x^2-10 c x-11 d=0 and those o...

    Text Solution

    |

  8. Let a,b,c be the sides of a triangle. No two of them are equal and lam...

    Text Solution

    |

  9. All the values of m for whilch both the roots of the equation x^2-2m x...

    Text Solution

    |

  10. If the roots of the quadratic equation x^2+p x+q=0 are tan30^0a n dtan...

    Text Solution

    |

  11. Let alpha,beta be the roots of the equation x^2-p x+r=0a n dalpha//2,2...

    Text Solution

    |

  12. If the difference between the roots of the equation x^2+a x+1=0 is les...

    Text Solution

    |

  13. Let a ,b , c ,p ,q be real numbers. Suppose alpha,beta are the roots o...

    Text Solution

    |

  14. The quadratic equations x^2""-6x""+""a""=""0""a n d ""x^2""-c x""+""...

    Text Solution

    |

  15. How many real solutions does the equation x^7+14 x^5+16 x^3+30 x-560=0...

    Text Solution

    |

  16. Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0...

    Text Solution

    |

  17. The smallest value of k, for which both the roots of the equation, x^2...

    Text Solution

    |

  18. If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, t...

    Text Solution

    |

  19. Let p and q real number such that p!= 0,p^3!=q and p^3!=-q. if alpha a...

    Text Solution

    |

  20. solve 0=1+2x+3x^2

    Text Solution

    |

  21. Find the roots of x^2-6x-2=0

    Text Solution

    |