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Question

Find the roots of the equation 2x25x+3=0, by factorisation method.


  1. 4,2

  2. -5232

  3. 32,1

  4. -32,1


Solution

The correct option is C

32,1


Given equation: 2x25x+3=0

We need to find two numbers whose product is 6 and whose sum is -5.

We see that product of -2 and -3 is 6 and sum is -5. So, lets use these numbers.

So, 2x25x+3=0

2x22x3x+3=0

2x(x1)3(x1)=0

(2x3)(x1)=0

2x3=0 or x1=0

x=32 or x=1

32 and 1 are the roots of the quadratic equation 2x25x+3=0.

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