Question

doesn't there existing a rational number x such that (14x+1)x=3? if yes find all such number if not give reasons ​

Answer 1

Answer:

x = 3/7  , x = -1/2

Step-by-step explanation:

Doesn't there existing a rational number x such that (14x+1)x=3? if yes find all such number if not give reasons ​

(14x+1)x=3

=> 14x² + x - 3 = 0

=> 14x² + 7x - 6x - 3 = 0

=> 7x(2x +1) - 3(2x +1) = 0

=> (7x -3)(2x +1) =0

x = 3/7  , x = -1/2

Rational numbers exists .