Question

What are the roots of the quadratic equation v2x2 + 32 = 9 ​

Answer 1

Answer:

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

STEP

1

:

Equation at the end of step 1

 2x2 -  32

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  2x2 - 32  =   2 • (x2 - 16)  

Trying to factor as a Difference of Squares:

3.2      Factoring:  x2 - 16  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 16 is the square of 4

Check :  x2  is the square of  x1  

Factorization is :       (x + 4)  •  (x - 4)  

Final result :

 2 • (x + 4) • (x - 4)

Step-by-step explanation: