If α and β are the zeros of the polynomial f(x)=5x^2+4x−9 then evaluate the following: alpha^2+beta^2 About the author Adalynn

Answer: Step-by-step explanation: here,given α and β are zeros of given polynomial f(x)=5x²+4x-9 acording to question, f(x)=0 5x²+4x-9=0 5x²-5x+9x-9=0 5x(x-1)+9(x-1)=0 (x-1)(5x+9)=0 so ,x=1 or -9/5 hence,α=1 and β= -9/5 now,α²+β²=1+(-9/5)²=1+81/25=106/25. is the correct answer. mark me as brainliest.. Reply

Answer:Step-by-step explanation:here,given α and β are zeros of given polynomial f(x)=5x²+4x-9

acording to question,

f(x)=0

5x²+4x-9=0

5x²-5x+9x-9=0

5x(x-1)+9(x-1)=0

(x-1)(5x+9)=0

so ,x=1 or -9/5

hence,α=1 and β= -9/5

now,α²+β²=1+(-9/5)²=1+81/25=106/25.

is the correct answer.

mark me as brainliest..