SOLUTION: Find all values of for which the quadratic equation has one real solution. 9x^2-5x-h=0 Write your answer as an equality or inequality in terms of .

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find all values of for which the quadratic equation has one real solution. 9x^2-5x-h=0 Write your answer as an equality or inequality in terms of .       Log On


   

Question 886129: Find all values of for which the quadratic equation has one real solution.
9x^2-5x-h=0

Write your answer as an equality or inequality in terms of .
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
"one real solution", happens if discriminant is zero.

ax%5E2%2Bbx%2Bc=0 has a number b%5E2-4ac and this is the discriminant. The discriminant occurs in the general solution of a quadratic equation.

%28-5%29%5E2-4%2A9%2A%28-h%29=0
25%2B36h=0
36h=-25
highlight%28h=-%2825%2F36%29%29