Solve this equation for a:

a +[ 11 17 -8 13 ] = [ 0 1 -2 3 ]

a11 =
a12=
a13=
a14=

 a₁₁ = -11      a₁₂ = -16       a₁₃ = 6      a₁₄ = -10

Step-by-step explanation:

"A" represents the following matrix of unknown values [a₁₁    a₁₂      a₁₃     a₁₄]

[a₁₁    a₁₂      a₁₃     a₁₄]   +    [11    17      -8     13]   =     [0   1      -2     3]

a₁₁ + 11 = 0   -->   a₁₁ = 0 - 11    = -11

       a₁₂ + 17 = 1   -->   a₁₂ = 1 - 17    = -16

                   a₁₃ + -8 = -2  -->  a₁₃ = -2 + 8  = 6

                             a₁₄ + 13 = 3   -->  a₁₄ = 3 - 13   = -10

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

tube or goog would be a great resource to with that question