SOLUTION: Consider the quadratic equation ax^2+10x+(a-5) Find the values for a for which there are 1) two solutions 2) no solutions 3) 1 solution

Question 1136708: Consider the quadratic equation ax^2+10x+(a-5)
Find the values for a for which there are
1) two solutions
2) no solutions
3) 1 solution
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Consider the quadratic equation
Find the values for for which there are

1) two solutions
2) no solutions (no real solution)
3) 1 solution (a repeated real number solution)
use discriminant:
if discriminant > then solutions
if discriminant = then solution
if discriminant < then no real solution

in your case , , ,

.....use quadratic formula to get
=>
=>
check the graph using

=

so, there are two solutions

.....use quadratic formula to get
=> or
=> or
check the graph using

=

so, there is one solution

.....use quadratic formula to get
=> or
=> or
check the graph using

=

so, there are no real solutions

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
No equal sign --> not an equation.

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