Question

Determine the nature of the roots of 3x²-2x+6=0?​

Answer 1

Answer:

ANSWER

We have,

3x

2

−2x−6=0

Since, x

1

and x

2

are the roots of above equation

∴x

1

+x

2

=

3

−(−2)

=

3

2

And x

1

x

2

=

3

−6

=−2

Now,

(x

1

+x

2

)

2

=x

1

2

+x

2

2

+2x

1

x

2

⇒x

1

2

+x

2

2

=(x

1

+x

2

)

2

−2x

1

x

2

=(

3

2

)

2

−2(−2)

=

9

4

+4=

9

40

Answer 2

Answer:

Hey there!

Factorise

We can solve it with

i) quadratic formula and

ii) completing the square method.

Solve the quadratic equation ax²+bx+c =0 using

By completing the square method,

Hope it helps!