Question

If α, β are roots of x² + 5x + a = 0 and 2α + 5β = -1, then a is equal to. *​

Answer 1

Step-by-step explanation:

α, β are roots of x²+5x+a=0

1)α+β= -5. 2)αβ=a

1)α= -5-β

2α + 5β = -1

2(-5-β)+5β= -1

-10-2β+5β= -1

-10+3β=-1

3β=9

β=3

α= -5-β

α= -5-3

α= -8

a=αβ

a= 3(-8)

a= -24

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