Question

If alpha and beta are the roots x^2+6x-4=0 find the value of (alpha-beta)

Answer 1

Answer:

-2√5

Step-by-step explanation:

alpha and beta are the roots

alpha + beta = -b/a= -6/1

alpha * beta = c/a = -4/1

(alpha + beta)^2 = (alpha -beta)^2 + 4 alpha beta

-6^2 = (alpha - beta)^2 + 4* -4

-36 = (alpha - beta) ^2 -16

-36 + 16 = (alpha - beta )^2

✓-20 = alpha - beta

= -2√5 is the answer