Question

Solve by factoring...

1) y=6x^2-13x-5

2) y=4x^2-7x+3

Answer 1

1)
`x=-(1)/(3), x=(5)/(2)`

2)
`x=1, x=(3)/(4)`

Explanation:

1)

Given

`f(y)= 6x^(2) -13x-5=0`

Equating above equation.

`6x^(2) +2x-15-5=0`

`2x(3x+1)-5(3x+1)=0`

`(3x+1)(2x-5)=0`

Solving for both the equation

`3x+1=0`

`3x=-1`

`x=-(1)/(3)`

`2x-5=0`

`2x=5`

`x=(5)/(2)`

`x=-(1)/(3) ,x=(5)/(2)`

2)

Given

`f(y)=4x^(2) -7x+3=0`

`4x^(2) -4x-3x+3=0`

`4x(x-1)-3(x-1)=0`

`(x-1)(4x-3)=0`

Solving for both equation

`x-1=0`

`x=1`

`4x-3=0`

`4x=3`

`x=(3)/(4)`

`x=1, x=(3)/(4)`