Answer:
x² - 2x - 4 = 0
Step-by-step explanation:
x = 1 + √5 or x = 1 - √5
sum of the root = (1 + √5) + (1 -√5)
sum of the root = 2
product of the root = (1 +√5)(1-√5)
product of the root = 1 +√5 -√5 -5
product of the root = 1 - 5
product of the root = -4
A quadratic equation is expressed by ;
x² -( sum of the root) + (product of the root )= 0
therefore,
x² - 2 - 4 = 0
