If ∝ and β are the roots of the quadratic equation x² – x – 2 = 0 then ∝² + β² is equal to​

α² + β² = 5

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a≠ 0 ) , then

sum of roots = -

product of roots =

x² - x - 2 = 0 ← is in standard form

with a = 1, b = - 1, c = - 2 , then

α + β = - = 1

αβ = = - 2

Using the identity

(α + β)² = α² + β² + 2αβ , then

α² + β² = (α + β)² - 2αβ = 1² - 2(- 2) = 1 + 4 = 5

let's solve for :

let's plug the values,

4/5 or 0.8

Step-by-step explanation: So if Jenna has four and she wants to split it up into 5 equal parts. She'd have to split it into 5 pieces of 4/5. to figure this out, all you have to do is divide 4 by 5. My teachers would tell me that all fractions are also a division problem as in if we take the first number we're dividing by and make it the numerator, and then make the second one the denominator then we can find out the answer.