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Question

Find the roots of the quadratic equation 2x2+7x+52=0 using factorization method


A

and

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B

and

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C

and

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D

and

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Solution

The correct option is A

and


Multiply 2 with 52 and we get 10
Pairs of 10 are
1*10 = 10 sum 1+ 10 = 11
2*5 = 10 sum 2+ 5 = 7
So our required pair is 2 and 5
2x2+5x+2x+52=0
x(2x+5)+2(2x+5)=0
(2x+5)(x+2)=0
2x+5=0 and x+2=0
x=52 and x=2
52 and 2 are our required roots of quadratic equation.


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