Question

Find a quadratic polynomial whose sum and product of its zeroes respectively are 0 and√5 .​

Answer 1

Answer:

the quadratic polinomial is ⇒ x2 + √5 = 0

Step-by-step explanation:

Sol : α, β are zeros of the quadratic polynomial then sum and product of whose zeroes are 0 and √5 respectively. ∴ α + β = 0 αβ = √5. α, β are zeros of the quadratic polynomial then the equation is x2 -(α + β)x + αβ = 0 x2 -0x + √5 = 0 ⇒ x2 + √5 = 0

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Answer 2

α,β are zeros of the quadratic polynomial then sum and product of whose zeroes are 0 and √5 respectively.

∴ α+β=0 αβ =√5.

α,β are zeros of the quadratic polynomial then the equation is

x2(x square)-(α + β)x+αβ =0x2(x square)-0x+√5 = 0

⇒ x2(x square)+√5 = 0