Find the solutions to the equation below 30x^2-28x+6 =0

For this case, we have the following equation of the second degree:

If we divide between 2 on both sides of the equation, we will have:

Where:

The solutions will come from:

Substituting:

So, we have:

Option A

Option E

Option A and E are the correct options.

Step-by-step explanation:

30x²-28x+6=0

2(15x²-14x+3) = 0

Or 15x²-14x+3 = 0

15x²-9x-5x+3 = 0

3x(x-3) - 1(5x-3) = 0

(3x-1)(5x-3) = 0

Now by the zero product rule

3x-1 = 0

3x = 1

x = 1/3

And (5x-3) = 0

5x = 3

x = 3/5

So two solutions are (1/3, 3/5).

Therefore options A and E are the correct options.

x=half

step-by-step explanation: