Find the number of common root of the equations.
5x2 + 2x – 7 = 0
6x2 + 43x – 49 = 0
Find the number of common root of the equations.
5x2 + 2x – 7 = 0
6x2 + 43x – 49 = 0
Option 1 -
1
Option 2 -
2
Option 3 -
3
Option 4 -
None
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:(6x2 + 43x – 49) – (5x2 + 2x – 7) = 0
x2 + 41x – 42 = 0
x2 + 42x – x – 42 = 0
x (x + 42) – 1 (x + 42) = 0
(x – 1) (x + 42) = 0
x = 1 satisfy both the equations. So, there is only one common root.
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