Posted by **Megan** on Wednesday, December 20, 2006 at 10:33pm.

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))

## Answer This Question

## Related Questions

- find dy/ds - y = s*square root of(1-s^2) + cos inverse(s) Just give me some ...
- Derivatives - What is the fourth derivative of f(x)= e^-x^2. I got f''(x)=-2e^-x...
- Powers in Math - (5a^3b^4)^2=? *I don't get this one...PLease Help! (5a3b4)2= (5...
- Math - Simplify: 4^(-1/2) 4-1/2 = 1/41/2 = 1/2. check my work. On exponents, ...
- Algebra - Solve the quadratic equation. 4x^2-8x+3=5 4x² - 8x +3 - 5 = 0 4x²- 8x...
- Math - Hi i was wondering what the square root of 3 times the squareroot of 9 is...
- Chemistry - Sorry for posting this again, I dont know if the question was ...
- radical expressions - how do u simplify radical expressions such as cubed root ...
- Inter. Algebra - Count Iblis what is the answer to 2 square root sign 18x? The ...
- Math - Is this correct: sqrt2/sqrt10=sqrt2/5sqrt2 nope. it would be sqrt2/(sqrt5...

More Related Questions