If alpha and beta are the roots of the quadratic equation 3m² + 2m - 4 = 0. Then alpha² + beta² =
Answers
Answered by
0
Answer:
Thus we can express the sum of the roots in terms of the coefficients a,b,c of the quadratic as α+β=−ba.
Answered by
2
Answer:
-23
Step-by-step explanation:
Comparing the given equation with am² + bm + c = 0, we get
a = 3, b = 2, c = -4
α + β = -b = -2 .............(1)
a 3
αβ = c = -4 ...........(2)
a 3
α² + β² = (α + β)² - 2αβ
= 4 - 6 × -4
6
= 2 - 24
3
= -23
Similar questions