Algebra

How is a quadratic inequality different from a quadratic equation?

asked by Liz
  1. one is an inequality, the other is not. :-)

    An equation will have 0,1, or 2 roots.
    for example,

    (x-3)(x+4) = 0
    is true when x=3 or x = -4.

    (x-3)(x+4) < 0
    is the interval from -4 to 3, where y < 0.

    Just as the equation, the inequality may have an interval, or a point for a solution, or no solution at all.

    x^2 <= 0 has only x=0 for a solution.
    x^2 > 0 will have two intervals for a solution: (-oo,0) U (0,oo)
    x^2 < 0 has no real solutions at all

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Pre-Calculus

    Find first differences for the sequence in order from a_1 to a_5. Determine whether or not the series is quadratic or not.(I used _ as a sign for a subscript) -1, -3, -1, 5, 15 A. 2, 2, 6, 10; not quadratic B. 2, 2, 6, 10;
  2. algebra

    0. Tell your classmates about your pet to set up the scenario for fencing a rectangle in your yard. 1. You MUST start by choosing an amount of area that you want to fence in for your pet and this MUST be stated first. What amount
  3. algebra 1

    Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the following
  4. algebra II

    How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution?
  5. algebra II

    How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution?
  6. Algebra

    Solve the quadratic inequality 2x^2 + x - 3 > 0 is this correct? I'm not sure what a solved quadratic inequality looks like. 2x^2 + x > 3
  7. Mat/117 DQ1

    How do you know if a quadratic equation will have one, two, or no solutions?Please give examples. How do you find a quadratic equation if you are only given the solution? Please give an example.Is it possible to have different
  8. QUADRATIC EQUATION

    r^2+8r=48 First bring the 48 to the other side of the equation r^2+8r-48=0 Now you can use the quadratic formula. x=-b+-sqrt(b^2-(4ac)) ¯¯¯¯¯¯¯2a¯¯¯¯¯¯¯¯¯ So... a=1 b=8 c=-48 Now just plug the numbers into the
  9. math help how do i do this

    Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b^2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the
  10. algebra

    Solve the quadratic equation: 2x(squared)+6x+12=0 I know you have to find two numbers that =24 (2 times 12) and have a sum of 6. But I can't think of any! Can someone please help? Use the quadratic. And this problem has no real

More Similar Questions