SOLUTION: Using the discriminant or otherwise, find the value of k for which the equation 3kx^2 + 4x + 2=0 has equal roots

SOLUTION: Using the discriminant or otherwise, find the value of k for which the equation 3kx^2 + 4x + 2=0 has equal roots

Algebra.Com

Question 1121714: Using the discriminant or otherwise, find the value of k for which the equation 3kx^2 + 4x + 2=0 has equal roots
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The quadratic ax^2 + bx + c will have only one root if b^2 - 4ac = 0
4^2 = 4*3k*2
16 = 24k
k = 2/3
Check:
3(2/3)x^2 + 4x + 2 = 0
2x^2 + 4x + 2 = 0
x^2 + 2x + 1 = 0
(x+1)^2 = 0
x = -1
RELATED QUESTIONS
Find one value of k for which the given equation has equal roots:... (answered by Alan3354,MathTherapy)

Find the value(s) of k for which the equation (x+2)(x+k)=-1 has equal... (answered by stanbon)

Solve for the value of k that will make the roots of the function be real and equal:... (answered by josgarithmetic)

Find the value of the constant k for which the equation 2x^2+(k+3)x+2k=0 has equal... (answered by ikleyn)

What should be the range of the value of k so that the equation 2x2+3kx-9=0 will have... (answered by KMST)

For what value of K will the roots of the Equation 2x^2-4x+K=0 be REAL AND... (answered by stanbon)

Please help me with this question. I have to solve by whichever method is easier. (... (answered by richwmiller,MathTherapy)

For what value of k will the roots of 4x^2 + 4x + k be... (answered by robertb)

I really need some help for this problems because I have been confuse of this problems... (answered by Edwin McCravy)