Question

Find roots : x+-= 3 (where x 60)​

Answer 1

Answer:

2x

2

+6

3

x−60=0

Compare given equation with the general form of quadratic equation, which is ax

2

+bx+c=0

a=2,b=6

3

,c=−60

Find Discriminant:

D=b

2

−4ac

=(6

3

)

2

−4.2.−60

=108+480

=588>0

Roots of equation are real.

Find roots:

x=

2a

−b±

D

=

2×2

−6

3

±

196×3

=

2

−3

3

±7

3

Roots are :

x=2

3

and x=−5

3