document.write( "Question 629591: if a number is subtracted from twice its reciprocal the result is -23/5. what is the number? \n" ); document.write( "

Algebra.Com's Answer #396354 by 55305(86) $\"\"$ $\"About$

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First we should write an algebraic equation. So pretend the number is x. So twice the reciprocal is 2/x and if we subtract the number from that to get 2/x-x. Then we set that equal to -23/5 and solve.
\n" ); document.write( "2/x-x=-23/5
\n" ); document.write( "Multiply both sides by 5x to get rid of the fractions: 10-5x^2=-23x
\n" ); document.write( "Convert it to the ax^2+bx+c=0: -5x^2+23x+10=0\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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This is an equation! Solutions: x=-0.4,x=5.
Graphical form: Equation $\"-5x%5E2%2B23x%2B10=0\"$ was fully solved.
Text form: -5x^2+23x+10=0 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+-5x%5E2%2B23x%2B10=0+%29\"$
For tutors: simplify_cartoon( -5x^2+23x+10=0 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+-5%2Ax%5E2%2B23%2Ax%2B10+%29=0\"$ .
Equation $\"highlight_red%28+-5%2Ax%5E2%2B23%2Ax%2B10=0+%29\"$ is a quadratic equation: -5*x^2+23*x+10 =0, and has solutions -0.4,5
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-0.4,x=5.

Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "The two answers you get are -0.4, and 5, so lets check which one is right.
\n" ); document.write( "if x= -2/5: -10/2-(-2/5)= -5+2/5= -23/5 and so that is the answer. \n" ); document.write( "

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