Question

Solve the quadratic equation by using formula method: 2n² +5n+3=0​

Answer 1

Answer:

2n2 + 5n + 2 = 0

Comparing with ax2 + bx + c = 0 we have a = 2, b = 5, c = 2

b2 – 4ac = (5)2 – 4 (2) (2)

= 25 – 16

= 9

By Formula method,

n

=

- b ± √(b2 – 4ac)

2a

∴ n

=

-(5) ± √9

2(2)

∴ n

=

-5 ± 3

4

∴ n

=

-5 + 3

or

-5 – 3

4

4

∴ n

=

-2

or

-8

4

4

∴ n

=

- ½

or

-2