CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If a, b, c are distinct positive real numbers such that b(a + c) = 2ac then the roots of ax2+bx+c=0 are



A

real and equal

loader
B

real and distinct

loader
C

Imaginary

loader
D

data insufficient

loader

Solution

The correct option is C

Imaginary


b=2aca+c  b is HM of a & c.
ax2+2bx+c=0 Δ=4b24ac=4(b2ac)
GM of a & c is ac
  ac>b2   (GMHM)  Δ<0


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More



footer-image