Question

:-) which of the following quadratic equation has root
2 , -1 ​

Answer 1

Answer:

Given equation is

2x

2

+

3

5

x−2=0

⇒6x

2

+5x−6=0

⇒6x

2

+9x−4x−6=0

⇒3x(2x+3)−2(2x+3)=0

⇒(2x+3)(3x−2)=0

⇒2x+3=0 or 3x−2=0

⇒2x=−3 or 3x=2

⇒x=

2

−3

or x=

3

2

So, the roots of the given quadratic equation are

2

−3

or x

3

2

HOPE THIS IS HELPFUL TO YOU