Question

8. Express the following as the sum of two consecutive integers:
(i) 19*19
(ii) 33*33
(iii) 47*47
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Answer 1

Answer:

Step-by-step explanation:

General formula : x+(x+1)=product

i) 19*19=361

=)x+(x+1)=361 =) 2x = 360 =) x = 180

180+181=361

ii) 33*33=1089

=)x+(x+1)=1089 =) 2x = 1088 =) x = 544

544+545=1089

iii) 47*47=2209

=)x+(x+1)=2209 =) 2x = 2208 =) x = 1104

1104+1105 = 2209

Answer 2

Step-by-step explanation:

19*19=361=180+181

33*33=1089=544+545

47*47=2209=1104+1105