Question

What are the solutions of the equation 3x² – 5x + 2 = 0? U C D 1 and 2 1 and Homb -1 and -2 -1 and -2​

Answer 1

There are no extraneous roots so the answer is 2/3 and 1

Answer 2

1and 2/3

Explanation:

using the factorization method

the product of the equation is positive 6(3×2)

then we find the factors of 6 which give us the product 6 and the sum of-5

the factors are-3 and -2

we then substitute negative 5 with these factors

it then be 3x^2-3x-2x+2=0

then we group factorise

we will have 3x(x-1)-2(x-1)=0

we find the common factors of the 2 groups

we will then have (x-1)(3x-2)=0

then we equate the both brackets to 0

(x-1)=0 and(3x-2)=0

for the first bracket add 1 both sidesand the second add 2 both sides and divide by 3