Question

Find quadratic roots of m²- 2m +2=0​

Answer 1

Answer:

Given m

2

=2+2m

Rewrite the equation in standard form i.e., m

2

−2m−2=0

This is of the form ax

2

+bx+c=0 where, a=1,b=−2,c=−2

x=

2a

−b±

b

2

−4ac

(Quadratic formula) ∴x=

2×1

−(−2)±

(−2)

2

−4(1)(−2)

x=

2

2±

4+8

=

2

2±

12

=

2

2±2

3

=

2

2(1±

3

)

=1±

3

∴x=1+

3

and 1−

3

are the roots of the quadratic equation m

2

=2+2m.