Question

3x 2 + 4x - 2 = 0, what are the solutions?

Answer 1

Answer:

Answer:

x=23+√103 , x=23−√103

Explanation:

Firstly, we need to deal with the coefficient of x2(the 3).

In order to remove the 3 we divide the

whole expression by 3.

3x2−4x−23=03

x2−43x−23=0

next, we complete the square, here is the general formula

x2+ax=(x+a2)2−(a2)2

so using this formula,

x2−43x−23=0

goes to

(x−46)2−1636−23=0

simplifying down,

(x−23)2−109=0

rearrange for x,

(x−23)2=109

x−

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