getuabera320
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  • 20-01-2021
  • Mathematics
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Find three consecutive square numbers whose sum is 149(I need the steps)​

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Аноним Аноним
  • 20-01-2021

Answer:

6,7,8

Step-by-step explanation:

according to the question

x²+(x+1)²+(x+2)²=149

3x²+6x+5=149

3x²+6x+5-149=0

3x²+6x-144=0

x²+2x-48=0

(x+8)(x-6)=0

x=-8

x=6

therefore

x=6 (note: it says the consecutive numbers so -8 isn't applicable)

so the numbers are

6,(6+1),(6+2)

6,7,8

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