document.write( "Question 451144: Determine the nature of the solutions of the equation 10t^2 - 8t = 0.
\n" ); document.write( "2) give exact and approximate solutions to thee decimal places x^2+2x+1=4
\n" ); document.write( "3) solve by copleting the square x^2+13/2x=13
\n" ); document.write( "4) give exact and approximate solutions to three decimal places (x-5)^2=18\r
\n" ); document.write( "\n" ); document.write( "Thank you,
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Algebra.Com's Answer #310246 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "10t^2 - 8t = 0 2t(5t-4)=0 t = 0,.8 (2-real solutions)
\n" ); document.write( "x^2+2x+1=4
\n" ); document.write( "x^2+2x-3=0 (x+3)(x-1)= 0 x = -3,1
\n" ); document.write( "x^2+13/2x=13
\n" ); document.write( "(x+13/4)^2 = 13 + 169/16 = 208/16 + 16*/169 = 377/16
\n" ); document.write( " x + 13/4 = ± sqrt(377)/4
\n" ); document.write( " x = -13/4 ± sqrt(377)/4 | x = -13/4 + sqrt(377/4),-13/4 - sqrt(377/4)\r
\n" ); document.write( "\n" ); document.write( "(x-5)^2=18
\n" ); document.write( " x-5 = ± sqrt(18)= ± sqrt(9*2)= ± 3sqrt(2)
\n" ); document.write( " x = 5 ± 3sqrt(2) | x = 5+3sqrt(2), 5-3sqrt(2) (exact solutions)
\n" ); document.write( " x = 5 ± 4.243 | x = .757, 9.243 (approximate solutions)\r
\n" ); document.write( "\n" ); document.write( "x^2 + 1/2x = 13
\n" ); document.write( " x(+1/4)^2 = 13 + 1/16 = 208/16 + 1/16 = 209/16
\n" ); document.write( " x = -1/4 +sqrt(209)/4, -1/4-sqrt(209)/4 \n" ); document.write( "
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