**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = 4*x*^{2} + 18*x* - 10

2 roots

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = 25*x*^{2} - 10*x* + 1

1 root

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = 4*x*^{2} - 9*x* + 6

0 roots

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = (*x* - 1)^{2} + 2

0 roots

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = - (*x* - 1)^{2} + 2

2 roots

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = (*x* - 6)^{2}

1 root

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = - (*x* - 6)^{2}

1 root

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = (*x* + 3)^{2} - 2

2 roots

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = - (*x* + 3)^{2} - 2

0 roots

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = (*x* + 1)(3*x* - 4)(2*x* + 5)

3 roots

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = (3*x* - 7)(*x*^{2} + 3)

1 root

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = (4*x* - 5)^{2}(*x* - 4)

2 roots

**Problem : **
How many distinct roots does the graph of the following equation
have?

*y* = (7*x* - 1)(*x*^{2} - 2)

3 roots