Question 1004156
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x=first number; x+1=second number
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{{{(x+x+1)^2=361}}}
{{{2x+1)^2=361}}}
{{{4x^2+4x+1=361}}}
{{{4x^2+4x-360=0}}}
{{{x^2+x-90=0}}}
{{{(x-9)(x+10)=0}}}
{{{x-9=0}}} {{{OR}}} {{{x+10=0}}}
{{{x=9}}} {{{OR}}} {{{x=-10}}}
The first number is 9 or -10.
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ANSWER: The two numbers are 9 and 10 or -10 and -9.
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CHECK:
For 9 and 10:
{{{(9+10)^2=361}}}
{{{19^2=361}}}
{{{361=361}}}
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For -10 and -9:
{{{(-10+(-9))^2=361}}}
{{{(-19)^2=361}}}
{{{361=361}}}