Final answer:
The given equations are analyzed to determine if they are linear or quadratic.
Step-by-step explanation:
The linear equations are:
a) 3x + 5 = 0
b) 6x^2 - 9 = 0
c) 4x^2 - 8x + 9 - 3x^2 = x^2
d) x^2
a) 3x + 5 = 0 is a linear equation because it is of the form y = mx + b. In this case, y = 3x + 5 which represents a straight line on a graph.
b) 6x^2 - 9 = 0 is not a linear equation because it contains a squared term (x^2), which makes it a quadratic equation.
c) 4x^2 - 8x + 9 - 3x^2 = x^2 can be simplified to x^2 - 8x + 9 = 0, which is a quadratic equation.
d) x^2 is also a quadratic equation because it only contains the squared term (x^2) and no linear term (x).