Question

Solve: 16x4 -8a4x + (a - b) = 0 for x.​

Answer 1

Answer:

Step-by-step explanation:

(16 • (x4)) - 24x2) + 3 = 0

Step 2 :

Equation at the end of step 2 :

(24x4 - 24x2) + 3 = 0

Step 3 :

Trying to factor by splitting the middle term

3.1 Factoring 16x4-16x2+3

The first term is, 16x4 its coefficient is 16 .

The middle term is, -16x2 its coefficient is -16 .

The last term, "the constant", is +3

Step-1 : Multiply the coefficient of the first term by the constant 16 • 3 = 48

Step-2 : Find two factors of 48 whose sum equals the coefficient of the middle term, which is -16 .

-48 + -1 = -49

-24 + -2 = -26

-16 + -3 = -19

-12 + -4 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -4

16x4 - 12x2 - 4x2 - 3

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

4x2 • (4x2-3)

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

1 • (4x2-3)

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

(4x2-1) • (4x2-3)

Which is the desired factorization