Question

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Answer 1

first option

Explanation:

if you factor you get (2x - 1)(3x + 4)

and if you find the exact roots using those you get

x = 1/2 and x = 4/3

Answer 2

The roots are
`(-4)/(3)` and
`(1)/(2)`.

Explanation:

Given,

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

To find the roots of the given equation.

We will take y = 0

And we will apply middle term factor rule.

So,

3x(2x+1)+2x-4 = 0

or,
`6x^(2)+3x+2x-4` = 0

or,
`6x^(2) +5x-4 = 0`

or,
`6x^(2) +8x-3x-4 = 0`

or, 2x(3x+4)-1(3x+4) =

or, (3x+4)(2x-1) = 0

or, 3x+4 = 0 and 2x-1 = 0

or, x =
`(-4)/(3)` and
`(1)/(2)`

Hence,

The roots are
`(-4)/(3)` and
`(1)/(2)`.