CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If [a+b25ab]=[6258] , find the values of a and b.

Open in App
Solution

By comparing corresponding elements of both the matrices, we get

a + b = 6 ……………………. (1)

ab = 8 ……………………….. (2)

a + b = 6 a = 6 – b …… (3)

Substitute (3) in (2)

(6 – b)b = 8

6b – b2 – 8 = 0

b2 – 6b + 8 = 0

(b – 4)(b – 2) = 0

b = 4, 2

So a + b = 6

When b = 4

a = 6 – 4 = 2

When b = 2

a = 6 - 2 = 4

Therefore a = 2, 4 and b = 4, 2


flag
Suggest Corrections
thumbs-up
50
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Adaptive Q1
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon