Question

if a and b are zeros of the polynomial 2x^2+11x+5, find a^4+b^4​

Answer 1

Answer:

2x²+11x+5

a+b= -11/2

ab=5/2

(a+b)²=a²+b²+2ab

121/4 -5=a²+b²

a²+b²=101/4

(a²+b²)²=a⁴+b⁴+2a²b²

10201/16=a⁴+b⁴+25/2

a⁴+b⁴=10001/16

I am not sure about answer. But explaination is correct.

Answer 2

Answer:

Step-by-step explanation:

2x^2+11x+5=0

x= (-11+8.426)/2;(-11-8.426/2)

x=(-2.573/2;-19.426/2)

x=(-1.286,-9.713)

(a)^4+(b)^4=2.735+8900.482=8903.217