Problem : How many distinct roots does the graph of the following equation have?
y = 4x2 + 18x - 10

2 roots

Problem : How many distinct roots does the graph of the following equation have?
y = 25x2 - 10x + 1

1 root

Problem : How many distinct roots does the graph of the following equation have?
y = 4x2 - 9x + 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)(3x - 4)(2x + 5)

3 roots

Problem : How many distinct roots does the graph of the following equation have?
y = (3x - 7)(x2 + 3)

1 root

Problem : How many distinct roots does the graph of the following equation have?
y = (4x - 5)2(x - 4)

2 roots

Problem : How many distinct roots does the graph of the following equation have?
y = (7x - 1)(x2 - 2)

3 roots