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1. Solve the following equation for x . (Enter your answers as a comma-separated

ID: 3186181 • Letter: 1

Question

1. Solve the following equation for x. (Enter your answers as a comma-separated list.)

2. Find all the values of x that make the following determinant zero. (Enter your answers as a comma-separated list.)

12. +-/7.69 points WilLinAlg9 3.1.013. Solve the following equation for x. (Enter your answers as a comma-separated list.) 2x eBook Show My Work (optional 13. 17.72 points WilLinAlg9 3.1.015 Find all the values of x that make the following determinant zero. (Enter your answers as a comma-separated list.) 4 eBook Show My Work (optional)@

Explanation / Answer

1) finding determinant of the matrix

2x ( x+4 ) - ( x- 1) (-7) = 1

simplifying left hand side

2x^2 + 8x - ( -7x + 7 ) = 1

2x^2 + 8x + 7x - 7 = 1

2x^2 + 15x - 8 = 0

( x+ 8 ) ( 2x - 1 ) = 0

x = - 8 , 1/2

2) finding determinant of the matrix

x {(x^2 - 1 ) - 5x - 5} + 4 { 2x^2 - 2x + x^2 - x } = 0

x = - 9 , 0 , 2