Flag Algebra> if alpha = −1/2 is a root of the quadrati...
question mark

if alpha = −1/2 is a root of the quadratic equation 8x2 − bx− 3 = 0 find the value ofb\tthe other root beta\t(1/alpha−1/beta)2

tolz , 7 Years ago
Grade 11
anser 1 Answers
Arun

Last Activity: 7 Years ago

If alpha = -1/2 is a root hence alpha  should satisfy this quadratic equation
Put x = -1/2
8* 1/4  +b/2 -3 = 0
b/2 = 3-2
b/2 = 1
Hence 
b = 2
Now equation becomes
8x² -2x-3 = 0
Then by formula 
x = 12/16 = 3/4 & x = -1/2
Hence 
Beta = ¾
Now
(1/alpha - 1/beta)²
= (-2 -4/3)²
 = 100/9
Hope it helps
May be calculation mistake is lresent somewhere but concept is right

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...