Question

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Answer 1

The roots are $\frac{-4}{3}$ and $\frac{1}{2}$.

Step-by-step 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 = $\frac{-4}{3}$ and $\frac{1}{2}$

Hence,

The roots are $\frac{-4}{3}$ and $\frac{1}{2}$.

Answer 2

Answer:

first option

Step-by-step 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