Given the roots, the equation is:

x² - (sum of the roots)x + (product of roots) = 0

Example 1: roots 3 and -5

x² - (3 + -5)x + (3)(-5) = 0

x² - (-2)x + (-15) = 0

Equation: x² + 2x - 15 = 0

Example 2: roots -4, -1

x² - (-4 + -1)x + (-4) (-1) = 0

x² - (-5)x + (4) = 0

x² + 5x + 4 = 0

Example 3: roots √2, -√2

x² - (√2 + -√2)x + (√2) (-√2) = 0

x² - 0x + (- √4) = 0

x² + (-2) = 0

x² - 2 = 0

You can do the next two examples. Try the roots 4 and 7; 5 and 2

You can do it :-)

Answer:

Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.