Question

x^2-7x+1=0 find x^2-1/x^2​

Answer 1

Answer:

The equation :

x

2

+

7

x

−

1

=

0

is of the form

a

x

2

+

b

x

+

c

=

0

where:

a

=

1

,

b

=

7

,

c

=

−

1

The Discriminant is given by:

Δ

=

b

2

−

4

⋅

a

⋅

c

=

(

7

)

2

−

(

4

⋅

(

1

)

⋅

−

1

)

=

49

+

4

=

53

The solutions are found using the formula

x

=

−

b

±

√

Δ

2

⋅

a

x

=

−

7

±

√

53

2

⋅

1

=

−

7

±

√

53

2

The solutions are

x

=

−

7

+

√

53

2

x

=

−

7

−

√

53

2