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22-02-2017
Mathematics

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What number when multiplied by itself is 23 greater than the preceding number when it is multiplied by itself?

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22-02-2017

x²=23+(x-1)²
expand
x²=23+x²-2x+1
x²=x²-2x+24
minus x² both sides
0=-2x+24
add 2x both sides
2x=24
divide by 2
x=12

the number is 12

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