Question

If alpha and beta are roots of 4x2-6x+1 find alpha4 + beta4

Answer 1

Answer:

α and β are the zeroes of 4x² + 4x +1

a = 4

b =4

c = 1

sum of zeroes = -b/a

α + β = -b/a

α+ β = -4 /4

α + β = -1 ........................(i)

product of zeroes = c/a

αβ = c/a

αβ = 1/4 ................(ii)

zeroes of polynomial are 2α and 2β

so

sum of zeroes =

2α + 2 β

2(α+β) from (i)

2(-1)

-2

product of zeroes

(2α)(2β)

4αβ

4 (1/4) from (ii)

1

polynomial =

x ² - ( sum of zeroes )x + product of zeroes

x² - (-2)x +1

x² +2 x+1

Hope it helps you ....

Answer 2

Answer:

47/16

Step-by-step explanation:

2nd picture is the first and then the first picture