The given quadratic equation is

comparing with

We get ,

formula :

Discriminant of given quadratic equation is 25 .
option (B) 25 ✔
It has no real solutions. that's why
Let's solve for p.
x3xp=x5
Step 1: Divide both sides by x^2.
px2x2=x5x2
p=x3
Answer:
p=x3
This one is so easy that your brain refuses to accept it.
It's looking for a harder answer, but can't find it !
You're totally correct, as far you went. x² + 2x does = -1
Now add ' 1 ' to each side: x² + 2x + 1 = 0
Can you factor that quadratic ?
Can you mash it through the quadratic formula ?
Actually, it's the simplest possible perfect square.
x² + 2x + 1 = (x + 1)²
So the solutions of x² + 2x + 1 = 0 are both x = -1 .
Don't say anything.
I know it's embarrassing.