Math

posted by .

Determine for what value(s) of d the quadratic equation 5x^2-10x+d = 0 has
i) real and distinct roots
ii)real and equal roots
iii)non-real roots

This is what I did to solve for A.

5x^2-10x+d = 0
b^2-4ac = 0
(-10)^2-4(5)(d) = 0
100-20d = 0
-20d = -100
d = 5

Need help with others.

  • Math -

    Close. Actually, you solved for (ii).

    i) D > 0
    100 - 20d > 0
    d < 5

    ii) D=0
    100-20d = 0
    d = 5

    iii) D < 0
    100-20d < 0
    d > 5

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    I'm having trouble understanding one step in a proof of the Cauchy-Schwarz inequality: u = a non-zero vector v = another vector a = <u,u> (so a > 0 by positivity axiom) b = 2<u,v> c = <v,v> (so c >= 0 by positivity …
  2. algebra

    Determine the value(s) of k for which x^2+(k-2)x-2k=0 has equal and real roots. a x^2 + bx + c = 0 has two different roots if the discriminant D defined as: D = b^2 - 4 a c does not equal zero. If D = 0 then there is one root. That …
  3. Algebra II

    Which describes the number and type of roots of the equation x^2 -625=0?
  4. Precalculus

    "Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and -1, but I can't figure out how to get the imaginary …
  5. mathematics

    Use the discriminant to determine the number of real roots the equation has. 3x2 – 5x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)
  6. maths2

    Use the discriminant to determine the number of real roots the equation has. 7x2 + 3x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)
  7. algebra

    if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have?
  8. Pre Cal

    Use Descartes’ Rule of Signs to find the number of possible positive, negative, and nonreal roots for the equation, 4x^3+7x^2+7x+3=0 a. 0 positive, 0 negative, 3 non real roots b. 0 positive, 1 or 3 negative, 0 or 2 non real roots …
  9. Math

    determine the value(s) of k which a quadratic equation x^2+kx+9=0 will have. a) two equal real roots b) 2 distinct roots I tried to find the discriminant but couldn't get the right answer
  10. Math

    Given that the equation x(x-2p)=q(x-p) has real roots for all real values of p and q. If q=3, find a non-zero value for p so that the roots are rational.

More Similar Questions