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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 whose product is 10 are

1×10 = 10; sum 1+ 10 = 11

2×5 = 10; sum 2+ 5 = 7

So our required pair is 2 and 5

2 x2 + 5x + 2x + 5\(\sqrt{2} = 0\)

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 the roots.


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