algebra2/trig
posted by jackie .
for what are value of k are the roots of 3x^26x+k=0 equal?

For the roots of the quadratic equation
ax^2+bx+c=0
to be equal, the discriminant Δ must equal to zero, where
Δ=b^24ac...(1)
For the given equation
3x^26x+k=0
a=3,b=6, c=k
Substitute a,b,and c in (1), equate to zero and solve for k.
Post your answer for checking if you wish. 
k=6
Respond to this Question
Similar Questions

algebra
Determine the value(s) of k for which x^2+(k2)x2k=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 … 
Algebra
The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots such that the squares of the roots are the same as the two roots. Calculate the product pq. I think the obvious root would be one but the second roots i just can't … 
Math
Determine for what value(s) of d the quadratic equation 5x^210x+d = 0 has i) real and distinct roots ii)real and equal roots iii)nonreal roots This is what I did to solve for A. 5x^210x+d = 0 b^24ac = 0 (10)^24(5)(d) = 0 10020d … 
alg2/trig
what is the smallest value of k that would make the roots of the equation x^22xk imaginary? 
trig
use the discriminant to solve for the smallest value of b that would make the roots of the equation x^2+bx+5=o imaginary 
calc
by applying rolle's theorem, check whether it is possible that the function f(x) = x^5 + x 17 has two real roots. your reason is that if f(x) has two real roots then by rolle's theorem, f'(x) must be equal to what at certain value … 
alg2/trig
If 4x^2+9=kx, what value of k will produce equal roots? 
maths
If the roots of the eqn 1/(x+p) + 1/(x+p) = 1/r are equal in magnitude but opposite in sign, show that p+r=2r and that the product of the roots is equal to (1/2) (p²+q²) 
PreCalc/Trig...
Helpp needed, this is sort of confusing me. Describe the nature of the roots for this equation. 2x^2x+1=0 A. Two real, rational roots B. Two real, irrational roots C. One real, double root D. Two complex roots 
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