Determine the nature of the roots of the following quadratic equations:

(a) 3x^2 - 6x + 7 = 0

(b) 3x^2 + 6x - 7 = 0

(c) -5x^2- x/5 = 0

(d) 4x^2 - 28/3x + 49/9 = 0

  1. 👍
  2. 👎
  3. 👁
  1. check the discriminants

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Unit 4: Quadratic Functions and Equations Lesson 6: The Quadratic Formula and the Discriminant 1.) a=5, b=9, c=-4 2.) C 3.) No solution 4.) x=-2, x=1.25 5.) x=-9, x=3 6.) quadratic formula 7.) 2 8.) 11cm by 16cm

  2. math

    the roots of 2x^2 - 3x = 4 are a and b. find the simplest quadratic equation which has roots 1/a and 1/b

  3. algebra

    if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? A-2 real, rational roots B-2 real, irrational roots C-1 real, irrational roots D-2 imaginary roots

  4. Maths

    Determine the values of K such that the quadratic equation x^2 + 2Kx - 3K =0 has equal roots Thankyou

  1. Alegbra 2

    Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with

  2. linear systems

    The statement that is false is A. A system of quadratic-quadratic equations can have exactly one solution. B. A system of quadratic-quadratic equations has no solutions if the graphs do not intersect. C. It is impossible for a

  3. Algebra2

    Find the polynomials roots to each of the following problems: #1) x^2+3x+1 #2) x^2+4x+3=0 #3) -2x^2+4x-5 #3 is not an equation. Dod you omit "= 0" at the end? #2 can be factored into (x+1)(x+3) = 0, so the roots are x=-1 and -3.

  4. Calculus/pre-trig

    Write the formula for the discriminant. State the types of roots for a quadratic equation, explaining how the discriminant helps you determine the type.

  1. math

    Determine the value(s) of m so that the quadratic equation mx2+6x = −m has no real roots. (i.e. no solution) help please !

  2. Math

    Find the discriminant for the quadratic equation f(x) = 5x^2 - 2x + 7 and describe the nature of the roots. discriminant is 144, one real root discriminant is -136, two complex roots

  3. Math

    a) Explain the relationship between the axis of symmetry and the quadratic formula. b) We know that the quadratic formula can be used to determine the roots of a quadratic function. However, the quadratic formula also reveals how

  4. Math

    Suppose p and q are odd integers. (a) Show that the quadratic equation x2 + px + q = 0 has no rational roots. (A number á is a “root” of that equation if: á2 + pá + q = 0. A number is rational if it is expressible as m/n

You can view more similar questions or ask a new question.