Question

is 2 a root of 5x square -2x+1=0 or not

Answer 1

⇒ The given quadratic equation is 5x

2

+13x+8=0, comparing it with ax

2

+bx+c=0

⇒ We get, a=5,b=13,c=8

⇒ x=

2a

−b±

b

−

4ac

=

2(5)

−13±

(13)

2

−4(5)(8)

=

10

−13±

169−160

=

10

−13±

9

=

10

−13±3

⇒ x=

10

−13+3

and x=

10

−13−3

∴ x=−1 and x=

5

−8