Solve by Factoring 4k^(4/3)-17k^(2/3)+4=0

Math
Rewrite as .
Let . Substitute for all occurrences of .
Factor by grouping.
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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Replace all occurrences of with .
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Rewrite as .
Rewrite as .
Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, where and .
Remove unnecessary parentheses.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
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Set the first factor equal to .
Subtract from both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Simplify .
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Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Simplify .
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Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Raise to the power of .
One to any power is one.
Raise to the power of .
Set the next factor equal to and solve.
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Set the next factor equal to .
Add to both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Simplify .
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Cancel the common factor.
Divide by .
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Simplify .
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Apply the product rule to .
One to any power is one.
Raise to the power of .
Set the next factor equal to and solve.
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Set the next factor equal to .
Subtract from both sides of the equation.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Raise to the power of .
Set the next factor equal to and solve.
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Set the next factor equal to .
Add to both sides of the equation.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Raise to the power of .
The final solution is all the values that make true.
Solve by Factoring 4k^(4/3)-17k^(2/3)+4=0


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