Question

38. If one root of a equation is 2 + √5, then the quadratic equation is :
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Answer 1

Answer:

IF X = 2+√5

X = 2+√5THEN

X = 2+√5THEN ALPHA - 2+√5

X = 2+√5THEN ALPHA - 2+√5AND

X = 2+√5THEN ALPHA - 2+√5AND BETA - 2-√5

X = 2+√5THEN ALPHA - 2+√5AND BETA - 2-√5QUADRATIC EQUATION ---X² -2x +1

Step-by-step explanation:

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Answer 2

Answer:

x²-4x -1 = 0

Step-by-step explanation:

One root of the equation is 2+√5.  So, the next root will be 2− √5.

So, x = 2 + √5 and x = 2-√5

⇒(x-(2+√5))(x-(2-√5)) = 0

⇒x²-4x -1 = 0