The sum of the roots of x² - 2x +   = 0 is _________. 

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RRB Group D 30 Aug 2022 Shift 3 Official Paper
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  1. -2
  2. 5

Answer (Detailed Solution Below)

Option 4 :
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RRB Group D Full Test 1
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Detailed Solution

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Concept used:

If a quadratic equation (ax2 + bx + c = 0)

Then, sum of roots  = -b/a 

Where b = coefficient of x 

a = coefficient of x2

Calculation:

Here, we have x2 - 2x +  = 0 

Now, divide the equation by  

⇒ x2 -  ×  x +  = 0 

Now, this is in the form of ax2 + bx + c = 0 

Where , a= 1 , b = - , c =  

Now, as we know that sum of roots = -b/a

⇒ -b/a = - ( - \(\sqrt{10}\) ) =  

Hence, the required sum of roots is .

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