document.write( "Question 202322: approximate to the nearest tenth, the real root of the equation f(x)=x^3-4=0 \n" ); document.write( "
Algebra.Com's Answer #152577 by dyakobovitch(40)\"\" \"About 
You can put this solution on YOUR website!
The simple method: x^3=4. Raise to the 1/3 power, and you have x=4^(/3). Take the cube root of 4, and you have your answer as the method below shows:\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: x=1.5874010519682.
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  • Graphical form: \"x%5E3-4=0\" simplifies to \"%2Bx%5E2%2B1.5874010519682%2Ax%2B2.51984209978975=0\"
  • Text form: x^3-4=0 simplifies to +x^2+1.5874010519682*x+2.51984209978975=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%5E3-4=0+%29\"
    For tutors: simplify_cartoon( x^3-4=0 )
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  • 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+x%5E3-4+%29=0\".
Divided polynomial on the left by known factors (x-(1.5874010519682))
It becomes \"%2Bhighlight_green%28+x%5E2%2B1.5874010519682%2Ax%2B2.51984209978975+%29=0\".
Result: \"%2Bx%5E2%2B1.5874010519682%2Ax%2B2.51984209978975=0\"
\n" ); document.write( "This is an equation! Solutions: x=1.5874010519682.

Universal Simplifier and Solver

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Done!
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