SOLUTION: Given 3x^2+(k+2)x=-3, determine the value(s) of k so that the equation has real and equal roots.
Algebra.Com
Question 128430: Given 3x^2+(k+2)x=-3, determine the value(s) of k so that the equation has real and equal roots.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given 3x^2+(k+2)x=-3, determine the value(s) of k so that the equation has real and equal roots.
----------------
The discriminant must be zero.
b^2-4ac = (k+2)^2-4*3*3 = 0
(k+2)^2 = 36
k+2 = 6 or k+2 = -6
k = 4 or k = -8
==================
Cheers,
Stan H.
RELATED QUESTIONS
Find the value(s) of k such that the equation f(x + k) = 0 has two equal real roots.... (answered by stanbon)
What should be the range of the value of k so that the equation 2x2+3kx-9=0 will have... (answered by KMST)
Find the value(s) of k so that x^2 + 4(k-1)x + 4k^2 = 0 has no real... (answered by Fombitz)
Find the value(s) of k for which the equation (x+2)(x+k)=-1 has equal... (answered by stanbon)
Find the value(s) of k such that the quadratic (k+1)x^2+2kx+2k=3(kx-1) has roots whose... (answered by thesvw)
Given that the equation {{{kx^2+12x+k=0}}} where k is a positive constant and has equal... (answered by lynnlo,vleith)
find the value of k so that the equation (3k^2)-(2x^2)+5x+3=0 has real and distinct... (answered by Edwin McCravy)
Find k such that the equation 6x^2 + 6x + k =0 has Two equal real roots, two distinct... (answered by MathLover1,josmiceli,MathTherapy)
find the value(s) ok K that would make the roots of the equation
3x^2+Kx+5=0... (answered by checkley71)