document.write( "Question 883155: Sheryl says that the solutions of the quadratic equations w^2=49 and w^2+49=0 are the same. Do you agree with sheryl? Justify your answer.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Please heelp me
\n" ); document.write( "

Algebra.Com's Answer #533368 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
The solution for w^2 = 49 is
\n" ); document.write( "w = square root(49)
\n" ); document.write( "w = 7 or -7
\n" ); document.write( "now solution for w^2 + 49 = 0 is
\n" ); document.write( "subtract 49 from both sides of =
\n" ); document.write( "w^2 = -49
\n" ); document.write( "w = square root(-49)
\n" ); document.write( "w = 7 * square root(-1)
\n" ); document.write( "w = -7 * square root(-1)
\n" ); document.write( "now we write square root(-1) = i, therefore
\n" ); document.write( "w = 7i or -7i (these are imaginary numbers)
\n" ); document.write( "sheryl is not correct since we have different solutions for w^2=49 and w^2+49=0\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );