Answer :

On comparing with standard quadratic equation that is

we have,


a = 2, b = 1 and c = – 45


Now here,


Product a × c = 2 × – 45 = 90


Factors of 90; 1 × 90; 2 × 45; 10 × 9; 30 × 3


Sum should be b = 1


From above factors ( + 10x – 9x)


will give + x sum


therefore + x is replaced by ( + 10x – 9x)


Now above eq. becomes



; taking 2x and – 9 common


(x + 5)(2x – 9)


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