Question

Factorise x/1-1/x=3?????????

Answer 1

Step-by-step explanation:

$\frac{x}{1} - \frac{1}{x} = 3 \\ {x}^{2} - 1 = 3x \\ {x}^{2} - 3x - 1 = 0 \\ \\ d = {b}^{2} - 4ac \\ d = ({ - 3}^{2}) - (4 \times 1 \times - 1) \\ d = 9 + 4 = 13$

x = (± b² - √d ) / 2a

x =(± 9 - √13 ) / 2× 1

take x as postive

x = (9 - √13 ) / 2

take x as negative

x = (-9 - √13) / 2

Answer 2

answer

1

x

−

x

1

=3

x

2

−1=3x

x

2

−3x−1=0

d=b

2

−4ac

d=(−3

2

)−(4×1×−1)

d=9+4=13

x = (± b² - √d ) / 2a

x =(± 9 - √13 ) / 2× 1

take x as postive

x = (9 - √13 ) / 2

take x as negative

x = (-9 - √13) / 2