document.write( "Question 1014108: Please help me with this, I would be very grateful :)\r
\n" ); document.write( "\n" ); document.write( "9a^2+25b^2 \n" ); document.write( "
Algebra.Com's Answer #630466 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
9a^2 +25b^2 is an elliptic paraoloid that opens upward
\n" ); document.write( "integer solution is a=0, b=0
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\n" ); document.write( "roots for variable b
\n" ); document.write( "Solve for b:
\n" ); document.write( "9a^2+25b^2 = 0
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\n" ); document.write( "Subtract 9 a^2 from both sides:
\n" ); document.write( "25 b^2 = -9 a^2
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\n" ); document.write( "Divide both sides by 25:
\n" ); document.write( "b^2 = -(9 a^2)/25
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\n" ); document.write( "Take the square root of both sides:
\n" ); document.write( "b = 1/5(3i)a
\n" ); document.write( "or b = 1/5(-3i)a
\n" ); document.write( "Note that when we take the square root of - we get i
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\n" ); document.write( "roots for variable a
\n" ); document.write( "9a^2 = -25b^2
\n" ); document.write( "a^2 = -25b^2/9
\n" ); document.write( "a = 1/3(5i)b
\n" ); document.write( "or a = 1/3(-5i)b
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