for what value of p the equation 2×2 +3px + 1=0 is a quadratic equation or not About the author Melanie
Answer: In ax 2 +bx+c=0, Discriminant D =b 2 −4ac, D=0, for the roots to be real and equal In 2x 2 +px+8=0 Thus, we have a=2,b=p and c=8 Then D =b 2 −4ac=0 ∴p 2 −4×2×8=0⇒p 2 −64=0 ⇒p=±8. Reply
Answer:
In ax
2
+bx+c=0,
Discriminant D =b
2
−4ac,
D=0, for the roots to be real and equal
In 2x
2
+px+8=0
Thus, we have a=2,b=p and c=8
Then D =b
2
−4ac=0
∴p
2
−4×2×8=0⇒p
2
−64=0
⇒p=±8.