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 .