Which matrix represents the system of equations shown below. {8x-9y+13z=11 -8x-5y+5z=15 3x-4y-8z=-10

Step-by-step explanation:

We have been given system of equation:

And

Coefficient of first equation will form first row and the constant on right hand side will comes in the side column  and second equation will form second row the constant on right hand side will comes in the side column

Hence, the matrix will be given by:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15