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Popular Algebra >

1=-(sqrt(3)1^4(-41^9+c_{1})^{3/4})/(-4*1^9+c_{1)}

Solution

1 = - \frac{3 \cdot 1 ^{4} ( - 4 \cdot 1 ^{9} + c _{1} ) ^{\frac{3}{4}}}{- 4 \cdot 1 ^{9} + c _{1}}

Solution

No Solution for c_{1} \in R

Solution steps

1 = - \frac{3 \cdot 1 ^{4} ( - 4 \cdot 1 ^{9} + c _{1} ) ^{\frac{3}{4}}}{- 4 \cdot 1 ^{9} + c _{1}}

Multiply both sides by

- 4 + c_{1}

1 \cdot (- 4 + c_{1}) = - \frac{3 \cdot 1 ^{4} ( - 4 \cdot 1 ^{9} + c _{1} ) ^{\frac{3}{4}}}{- 4 \cdot 1 ^{9} + c _{1}} (- 4 + c_{1})

Simplify

- 4 + c_{1} = - 3^{\frac{1}{2}} (- 4 \cdot 1^{9} + c_{1})^{\frac{3}{4}}

Take both sides of the equation to the power of

4 : 256 - 256 c_{1} + 96 c_{1}^{2} - 16 c_{1}^{3} + c_{1}^{4} = - 576 + 432 c_{1} - 108 c_{1}^{2} + 9 c_{1}^{3}

256 - 256 c_{1} + 96 c_{1}^{2} - 16 c_{1}^{3} + c_{1}^{4} = - 576 + 432 c_{1} - 108 c_{1}^{2} + 9 c_{1}^{3}

Solve

256 - 256 c_{1} + 96 c_{1}^{2} - 16 c_{1}^{3} + c_{1}^{4} = - 576 + 432 c_{1} - 108 c_{1}^{2} + 9 c_{1}^{3} : c_{1} = 4, c_{1} = 13

c_{1} = 4, c_{1} = 13

Verify Solutions:

c_{1} = 4

False

, c_{1} = 13

False

The solution is

No Solution for c_{1} \in R

Graph

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