Question

solve for X by quadratic formula √3x^2-2x-8√3​

Answer 1

Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

(3x2 - 2x) - 8 = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 3x2-2x-8

The first term is, 3x2 its coefficient is 3 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -8

Step-1 : Multiply the coefficient of the first term by the constant 3 • -8 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -2 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5

-6 + 4 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 4

3x2 - 6x + 4x - 8

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x-2)

Add up the last 2 terms, pulling out common factors :

4 • (x-2)

Step-5 : Add up the four terms of step 4 :

(3x+4) • (x-2)

Which is the desired factorization