wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Determine p and q is pq=24 and p+q=2

Open in App
Solution

If p+q and pq are known then quadratic equation corresponding to roots as p and q is given by,
x2(p+q)x+pq=0
x22x24=0, (substitute the given values)
x26x+4x24=0, (split the middle term)
(x26x)+(4x24)=0, (group pair of terms)
x(x6)+4(x6)=0, ( factor each binomials)
(x6)(x+4)=0, (factor out common factor)
x=6 or x=4, (set each factor to 0)
Hence p and q are 6 and 4

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Method of Identities
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon