Respuesta :
Answer:
The roots are {-5, 7/3}.
Step-by-step explanation:
I am assuming you want to solve this for x.
3x^2 + 8x = 35
3x^2 + 8x - 35 = 0 Try factoring by the 'ac' method.
ac = 3 * -35 = - 105.
We need 2 numbers whose product is -105 and whose sum = + 8.
These are +15 and - 7, so we write:
3x^2 + 15x - 7x - 35 = 0 Now factor by grouping:
3x(x + 5) -7(x + 5) = 0 (x + 5) is common so:
(3x - 7)(x + 5) = 0
The roots are {-5, 7/3}.