Question

If alpha and beta are zeros of the polynomial 3x²+5x+2, find the value of 1/alpha + 1/beta and alpha² + beta²

Answer 1

Answer:

24 is the answer

please follow m

Answer 2

★ Answer

• α and β are Zeroes of Polynomial 3x²+5x+2

As We know the different relations b/w zeroes of the polynomial using α+β = -b/a and αβ = c/a as:

→ α + β = -b/a

→ α + β = -5/3 [1]

→ αβ = c/a

→ αβ = 2/3 [2]

As We got the different relations between zeroes as well. Now We can find values,

→ 1/α + 1/β

→ α + β/αβ

→ (-5/3) / (2/3)

→ -5×3/2×3

→ -5/2

Finally, we're going to find the value of alpha² + beta² as:

→ α² + β² = (α+β)²-2αβ

→ (-5/3)² - 2 × 2/3

→ 25/9 - 4/3

→ 25-12/9

→ 13/9

Hence,

Above we have got all required values.