Question

solve x: 6x2 +5x-4=0​

Answer 1

Answer:

12+5x-4=0

8+5x=0

x=-8/5

Answer 2

Answer:-

6x2 + 5x - 4

step 1 :- using splitting middle term method

(easy trick to split middle term is multiply first and last term like this 6 * 4 = 24 and then find factors of 24 like this 8 * 3 = 24 when you do 8 - 3 = 5 )

6x2 -3x + 8x - 4

3x ( 2x - 1) + 4( 2x - 1 )

(3x + 4) ( 2x - 1)

solve (3x + 4)

3x + 4 = 0

3x = -4

x = -4/3

now solve ( 2x - 1 )

2x - 1 = 0

2x = 1

x = 1/ 2

so x = - 4/3 and x = 1/2