Question

Find the zeros of each of the following quadratic polynomials and verify the relationship between the zeros and their Coefficient 2y² + 3root5y _ 10

Answer 1

Step-by-step explanation:

y2 + 3√5/2y - 5 = 0

2y2 + 3√5y - 10 = 0

2y2 + (4√5y - √5y) - 10 = 0

2y2 + (4√5y - √5y) - 10 = 0

2y(y + 2√5) - √5(y + 2√5) = 0

(y + 2√5)(2y - √5) = 0

⇒ y = - 2√5, √5/2

Verification:

Sum of the zeroes = - (coefficient of x) ÷ coefficient of x2

α + β = - b/a

(- 2√5) + (√5/2) = - (3√5)/2

= - 3√5/2 = - 3√5/2

Product of the zeroes = constant term ÷ coefficient of x2

α β = c/a

(- 2√5)(√5/2) = - 5

- 5 = - 5

Answer 2

Answer:

how

Step-by-step explanation:

y2 + 3√5/2y - 5 = 0 2y2 + 3√5y - 10 = 0 2y2 + (4√5y - √5y) - 10 = 0 2y2 + (4√5y - √5y) - 10 = 0 2y(y + 2√5) - √5(y + 2√5) = 0 (y + 2√5)(2y - √5) = 0 ⇒ y = - 2√5, √5/2 Verification: Sum of the zeroes = - (coefficient of x) ÷ coefficient of x2 α + β = - b/a (- 2√5) + (√5/2) = - (3√5)/2 = - 3√5/2 = - 3√5/2 Product of the zeroes = constant term ÷ coefficient of x2 α β = c/a (- 2√5)(√5/2) = - 5 - 5 = - 5Read more on Sarthaks.com - https://www.sarthaks.com/878358/find-zeroes-polynomial-25y-verify-relation-between-the-coefficients-zeroes-polynomial