Question

12.5x²-15x+7,2.25x²-6x-3,5.6x²-2.5x+13​

Answer 1

x

2

−

6

x

+

3

=

0

The equation is of the form

a

x

2

+

b

x

+

c

=

0

where:

a

=

1

,

b

=

−

6

,

c

=

3

The Discriminant is given by:

Δ

=

b

2

−

4

⋅

a

⋅

c

=

(

−

6

)

2

−

(

4

⋅

1

⋅

3

)

=

36

−

12

=

24

The solutions are found using the formula

x

=

−

b

±

√

Δ

2

⋅

a

x

=

−

(

−

6

)

±

√

24

2

⋅

1

=

6

±

√

24

2

√

24

can be further simplified as follows:

√

24

=

√

2

⋅

2

⋅

2

⋅

3

=

√

2

2

⋅

2

⋅

3

=

2

√

6

x

=

6

±

2

√

6

2

x

=

2

(

3

±

√

6

)

2

x

=

2

(

3

±

√

6

)

2