What is the answer to x^{2.4}+2x^{1.2}-8=0 ?

The answer to x^{2.4}+2x^{1.2}-8=0 is x=2^{5/6},x=-2^{5/6}

Solve for x: x^{2.4}+2x^{1.2}-8=0

The solution is x=2^{5/6},x=-2^{5/6}

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x^{2.4} + 2 x^{1.2} - 8 = 0

x = 2^{\frac{5}{6}}, x = - 2^{\frac{5}{6}}

Decimal Notation

x = 1.78179 \dots, x = - 1.78179 \dots

Solution steps

x^{2.4} + 2 x^{1.2} - 8 = 0

Use the following exponent property

: a^{n} = (a^{\frac{1}{m}})^{(n \cdot m)}

x^{2.4} = (x^{\frac{1}{5}})^{(2.4 \cdot 5)}, x^{1.2} = (x^{\frac{1}{5}})^{(1.2 \cdot 5)}

(x^{\frac{1}{5}})^{12} + 2 (x^{\frac{1}{5}})^{6} - 8 = 0

Rewrite the equation with

x^{\frac{1}{5}} = u

u^{12} + 2 u^{6} - 8 = 0

Solve

Substitute back

u = x^{\frac{1}{5}},

solve for

x

Solve

x = 2^{\frac{5}{6}}, x = - 2^{\frac{5}{6}}

Verify Solutions:

x = 2^{\frac{5}{6}}

True

, x = - 2^{\frac{5}{6}}

True

The solutions are

x = 2^{\frac{5}{6}}, x = - 2^{\frac{5}{6}}

y + 3 = \frac{y + 3}{4}

2 x - 3 - 4 = x + 7

2 x + 6 = x - 1

(\frac{x}{1 - x})^{0.88} = 0.312

x = 2 x + 16 - 8

What is the answer to x^{2.4}+2x^{1.2}-8=0 ?
The answer to x^{2.4}+2x^{1.2}-8=0 is x=2^{5/6},x=-2^{5/6}
Solve for x: x^{2.4}+2x^{1.2}-8=0
The solution is x=2^{5/6},x=-2^{5/6}