document.write( "Question 1003150: If a and B are the root of the equation \"2x%5E2-7x-3\"=0
\n" ); document.write( "find the values of
\n" ); document.write( " i. \"3%2Fa%2B3%2FB\"
\n" ); document.write( "ii.\"aB%5E2+%2B+a%5E2B\" \n" ); document.write( "
Algebra.Com's Answer #619949 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
2x^2 -7x -3 = 0
\n" ); document.write( "divide both sides of = by 2
\n" ); document.write( "x^2 -(7/2)x -(3/2) = 0
\n" ); document.write( "add (3/2) to both sides of =
\n" ); document.write( "x^2 -(7/2)x = 3/2
\n" ); document.write( "now complete the square to solve quadratic
\n" ); document.write( "x^2 -(7/2)x + 49/16 = 24/16 + 49/16
\n" ); document.write( "(x -(7/4))^2 = 73/16
\n" ); document.write( "x = (7/4) + (3/4)*sqrt(7)
\n" ); document.write( "let a = (7/4) + (3/4)*sqrt(7) = 3.734313483 approx 3.73
\n" ); document.write( "let B = (7/4) - (3/4)*sqrt(7) = −0.234313483 approx -0.23
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\n" ); document.write( "i) 3/3.73 + 3/-0.23 = −12.239188717 approx -12.24
\n" ); document.write( "ii) (3.73)*(-0.23)^2 + (3.73)^2*(-0.23) = −3.00265 approx -3\r
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