SOLUTION: (a)If the quadratic equation of 6x^2－7x＝2k has two distinct real roots,
(i) find the range of possible values of k,
(ii) find the roots of the equation when k is th
Algebra.Com
Question 994128: (a)If the quadratic equation of 6x^2－7x＝2k has two distinct real roots,
(i) find the range of possible values of k,
(ii) find the roots of the equation when k is the smallest integer in (a)(i)
(b) Using the result of (a)(ii), solve －3(x＋p)^2＋7/2(x＋p)－5/6＝0, where p is a constant. (give the answers in terms of p.)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
For two distinct roots, the discriminant must be greater than zero, so:
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
The equation x^2+(k+2)x+2k=0 has two distinct real roots.
Find the possible values of... (answered by ikleyn)
The equation x^2 + k = 6 x has two distinct real roots. Find the range of values of k.
(answered by stanbon)
Find the values of k so that the equation {{{(k-2)x^2+4x-2k+1=0}}} has two distinct real... (answered by josgarithmetic)
Given the discriminant k^2+12k+20, find the values of k for its quadratic equation has... (answered by Alan3354,josgarithmetic,ikleyn)
find the range of values of k for which the equation x^2-2kx+k^2-2k=6 has real roots.... (answered by MathLover1)
The quadratic equation x² + kx + 36=0 has
two different real roots. Find the set of... (answered by greenestamps,Edwin McCravy,ikleyn)
Find k such that the equation 6x^2 + 6x + k =0 has Two equal real roots, two distinct... (answered by MathLover1,josmiceli,MathTherapy)
determine the set of values of p for which {{{5x^2-7x+p=0}}} has real and distinct... (answered by mouk)
"The equation x^2-3x+k^2=4 has two distinct real roots. Find the possible values of k."... (answered by josgarithmetic)