SOLUTION: Please help me answer this: For what values of k will the equation 3x^2=k-2x have real roots?

Question 948573: Please help me answer this: For what values of k will the equation 3x^2=k-2x have real roots?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

=> , , and
The argument of the square root, the expression , is called the "discriminant" because, by using its value, you can discriminate between (tell the differences between) the various solution types.
if there is no real roots
if there is one real roots
if there are two real roots
so, we need
if there is one real roots
if there are two real roots
and I will write both in one as
now just plug in , , and

so, if we will have one real root which is (you can check it)
if , using for example we will have two real roots which are and

so, to get real root/roots, you can use any value for from [,)

RELATED QUESTIONS
Please help me answer this: Show, without solving the equation, that the roots of... (answered by josgarithmetic)

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

For what values of k does 2x^2 - 5x - k = 0 have no real roots? Can you please help me... (answered by josmiceli,MathTherapy)

Please help me solve this problem prove that for all values ok k ,roots of this... (answered by oscargut)

For what value(s) of K will the equation 3xsquared=k-2x have real... (answered by stanbon)

Dear Sir/Madam, Good day! Kindly help me on this problem: Find the value of k so that... (answered by lwsshak3,solver91311)

Please help me answer this question: Show that for all real values of 'a' greater than 4. (answered by josgarithmetic)

Please help me with this problem: The figure shows the graph of the polynomial function... (answered by jake_6233)

What are the values o k which will give 4x^2+(k+7)x+(k+4)=0 equal,real roots? Please help (answered by ilana)