1.

Find all values of x that satisfy the determinant equation |{:(2x , 1), (x , x):}| = 3

Answer»

`-1`
`-1` or 1.5
1.5
`-1.5`

SOLUTION :Evaluate the 2 by 2 determinant to get `2x^(2) - X = 3` . Then factor `2x^(2) - x - 3 ` into `(2x- 3) ( x + 1)` and SET each factor to ZERO to get `x = (3)/(2)` or x = - 1 .


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