Question

write a quadratic equation in the form x^2 + bc + c= 0 that has the following rootsroots {5,1}}

Answer 1

x² - 6x + 5 = 0

Explanation:

The roots of the equation: (5, 1)

To get the equation we use the formula:

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

Sum of roots = 5 + 1

Sum of roots = 6

product of roots = 5 × 1

product of roots = 5

The equation becomes:

x² - 6x + 5 = 0