Explanation

Given the roots are 1 + √5 and 1 - √5, we can find the quadratic equation using the sum and product of roots.

Step 1: Calculate the sum of roots

Sum of roots = (1 + √5) + (1 - √5) = 2

Step 2: Calculate the product of roots

Product of roots = (1 + √5)(1 - √5) = 1 - 5 = -4

Step 3: Form the quadratic equation

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

x² - 2x - 4 = 0