Question

Find the nature of the root
of 2x square-5x-8=0​

Answer 1

Answer:-

x =(5-√89)/4= -1.108

x =(5+√89)/4= 3.608

solution:-

2x²-5x-8=0

Solving 2x²-5x-8 = 0 by the Quadratic Formula .

- B ± √ B²-4AC

x = ————————

2A

In our case, A = 2

B = -5

C = -8

Accordingly, B2 - 4AC =

25 - (-64) =

89

Applying the quadratic formula :

5 ± √ 89

x = —————

4

√ 89 , rounded to 4 decimal digits,

is 9.4340

So now we are looking at:

x = ( 5 ± 9.434 ) / 4

Two real solutions:

x =(5+√89)/4= 3.608

or:

x =(5-√89)/4=-1.108

Two solutions were found :

x =(5-√89)/4=-1.108

x =(5+√89)/4= 3.608

i hope it helps you.