Post a New Question

Algebra

posted by .

For what value(s) of b will x^2 + bx + 3 have exactly one root?

I'm rather new at this but wouldn't b=2*sqrt(3) give (x+sqrt3)2 as factors and that would give one root?
Check my thinking.

for a quadratic equation to have exactly one root, the discriminat must be zero i.e

if equation is:
ax^2+bx+c=0 , then for exactly one root,
b^2-4ac=0
i.e.
b^2=4ac
for your equation,
x^2+bx+3=0
b^2=4(1)(3)
=12
hence
b=sqrt(12)
=2(sqrt(3))

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. find dy/ds

    y = s*square root of(1-s^2) + cos inverse(s) Just give me some hints and I will do it. Thanks. You have y = s*square root of(1-s^2) + cos inverse(s) which I would write as y = s*sqrt(1-s 2 ) + cos -1 (s) and you want dy/ds For the …
  2. Derivatives

    What is the fourth derivative of f(x)= e^-x^2. I got f''(x)=-2e^-x^2 + 4x^2e^-x^2 i need some help on find f''''(x) You have f(x) = e -x 2 then f'(x) = -2x*e -x 2 = -2x*f(x) f"(x) = (4x 2 - 2))e -x 2 = f(x)*(4x 2 - 2)) f"'(x)= f'(x)*(4x …
  3. Math

    Simplify: 4^(-1/2) 4 -1/2 = 1/4 1/2 = 1/2. check my work. On exponents, negative means reciprocal. 4 (-1/2) means the same as 1/4 (1/2) which is the same as 1/squareroot(4) so the answer is 1^4 no, of course not. The square root of …
  4. Inter. Algebra

    Count Iblis what is the answer to 2 square root sign 18x?
  5. Powers in Math

    (5a^3b^4)^2=? *I don't get this one...PLease Help! (5a 3 b 4 ) 2 = (5) 2 *(a 3 )3 2 *(b 4 ) 2 = 25*a 6 b 8 I hope this turns out right. With all of these exponents it is easy to forget to turn them off and or to put parentheses in
  6. Math

    Hi i was wondering what the square root of 3 times the squareroot of 9 is with little 3's on on the outside of the square roots for each of them ( the index) sqrt3 *(sqrt9)= 3sqrt3 Is that little 3 a cube root sign?
  7. Math

    Is this correct: sqrt2/sqrt10=sqrt2/5sqrt2 nope. it would be sqrt2/(sqrt5)(sqrt2) no.d sqrt2/sqrt10= sqrt (2/10)= sqrt (1/5) sqrt 0.2 thanks can you help me with this please?
  8. radical expressions

    how do u simplify radical expressions such as cubed root of 125t^6w^2 4 125 has a cube root of 5 t 6 has a cube root of t 2 so you are left iunder the radial w 2</sup square root of a equals 10...I don't understand how to find the …
  9. Chemistry

    Sorry for posting this again, I don't know if the question was skipped or not, but I was just wondering if I could get some help on this... thanks. There are 3 known isotopes of Hydrogen and 3 stable isotopes of oxygen. How many types …
  10. Algebra

    Solve the quadratic equation. 4x^2-8x+3=5 4x² - 8x +3 - 5 = 0 4x²- 8x - 2 = 0 2x²- 4x -1 = 0 this is as far as I got. I am stuck and do not know what to do next can some one please help?

More Similar Questions

Post a New Question