Question

f a ,b are the roots of the quadratic equation ,x²+x+1=0 then find the value of 1/a , 1/b.​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

C O R R E C T Q U E S T I O N :

If α , β are the roots of the quadratic equation ,x²+x+1=0 then find the value of 1/α + 1/β .

S O L U T I O N :

Given :

• α , β are the roots of the quadratic equation.
• Quadratic equation, x² + x + 1 = 0.

To Find :

• The value of 1/α + 1/β.

Explanation :

Given, Quadratic equation, x² + x + 1 = 0.

On comparing with, ax² + bx + c = 0 , We get ;

⟶ a = 1 , b = 1 , c = 1

★ Sum of roots,

⟶ α + β = -b/a

⟶ α + β = -1/1

⟶ α + β = -1

★ Product of roots,

⟶ αβ = c/a

⟶ αβ = 1/1

⟶ αβ = 1

Now,

1/α + 1/β

⟶ α + β/αβ

⟶ -1/1

⟶ -1

Therefore,

The value of 1/α + 1/β is -1.