Question

form the quadratic equation if it (√2+√3) & (√2-√3)​

Answer 1

Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3, and 4 respectively, they add up to 74. Find these numbers.

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Answer 2

Answer:

Let x=3+

2

or x=3−

2

are the roots of a quadratic equation.

∴ x−(3+

2

)=0 or x−(3−

2

)=0

⟹ (x−(3+

2

))(x−(3−

2

))=0

⟹ (x

2

−x(3−

2

)−x(3+

2

)+(3+

2

)(3−

2

))=0

⟹ (x

2

−3x+x

2

−3x−x

2

+9−2)=0

⟹ (x

2

−6x+7)=0

Hence (x

2

−6x+7)=0 is the quadratic equation having roots 3+

2

and 3−

2