SOLUTION: Find k so that (k + 1)x^2 + 5x + 2k - 1 = 0 has two real solutions.

Question 1124033: Find k so that (k + 1)x^2 + 5x + 2k - 1 = 0 has two real solutions.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Find so that has solutions.
use discriminant:
if discriminant is negative,, our equation has two complex solutions
if discriminant is positive, , our equation has solutions which they are real
if discriminant is zero, , our equation has one solution which is real

...here, ,, and

use quadratic formula:

solutions:

so, we will have if and

check:
...if

solutions are:
≈
≈

graph:

...if

solutions:
≈
≈

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