Question

[30points] What is the formula used to make an equation when we know the zeroes (alpha+beta) and (alpha x beta) ?

Answer 1

Answer:

If it is a quadratic equation then it's zeroes are alpha and beta. Sum of zeroes is -b/a. So alpha plus beta is -b divided by a.

Step-by-step explanation:

Answer 2

The formula used for making an equation when you know the zeroes is;

• k(x² - (sum of zeroes)x + (product of zeroes)
• k(x² - (α+β)x + (αβ))

k here,is a constant; for better clarification follow this example;

Say

• (α+β) = 1
• (αβ) = 2

According to the formula the equation must be;

• k(x² - (α+β)x + (αβ))
• k(x² - (1)x + (2))
• k(x² - 1x + 2)

Now, the k can be replaced with any variable, i.e, 3,4,5/6,7 etc anything. Hope it was clear.