Solve the quadratic equation by factorisation

3x^2 - 7x + 2 = 0

Having trouble with this one!

Question

Solve the quadratic equation by factorisation

3x^2 - 7x + 2 = 0

Having trouble with this one!

anonymous · Answer

(3x-1)(x-2)

anonymous · Answer

f(x) = 3x^2 - 7x + 2
f(2) = 0

(3x^2-7x+2)/(x-2) = 3x-1
therefore

3x^2-7x+2 = (x-2)(3x-1)

x = 2 or x=1/3

anonymous · Answer

The answer is actually to solve , by doing as SaindDavid did is just factorization.

anonymous · Answer

should we provide the actual answers all the time, or rather help these guys out on figuring it out?

anonymous · Answer

so the x terms have to multiply to get 3x^2. Luckily the only factors of 3 are 3 and one, so we have (3x + a)(x + b). We know ab has to equal 2, and 3b + a has to equal -7, because we know how it multiplies out. So a is -2 and b is -1. So we have the answer from above:
(3x - 1)(x - 2) = 0
x = 2 or x = 1/3

anonymous · Answer

i use the quadratic formula . and got the same answer as saintdavid :)
$$-b \pm \sqrt{b^{2}-4ac}/2a$$

anonymous · Answer

@SaintDavid91 and @Mathlearner22, you say this but I believe most people actually show it step by step so the one asking the question understands how it has been done. Instead on just "commenting" without actually helping.....

anonymous · Answer

sorry :)