What is the answer to x^{1.15}=1.02678x^{1.4} ?

The answer to x^{1.15}=1.02678x^{1.4} is x=0,x= 1/(1.11150…)

Solve for x: x^{1.15}=1.02678x^{1.4}

The solution is x=0,x= 1/(1.11150…)

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x^{1.15} = 1.02678 x^{1.4}

x = 0, x = \frac{1}{1.11150 \dots}

Decimal Notation

x = 0, x = 0.89968 \dots

Solution steps

x^{1.15} = 1.02678 x^{1.4}

Move

1.02678 x^{1.4}

to the left side

x^{1.15} - 1.02678 x^{1.4} = 0

Factor

x^{1.15} - 1.02678 x^{1.4} : x^{1.15} (1 - 1.02678 x^{0.25})

x^{1.15} (1 - 1.02678 x^{0.25}) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x^{1.15} = 0 or 1 - 1.02678 x^{0.25} = 0

Solve

x^{1.15} = 0 : x = 0

Solve

1 - 1.02678 x^{0.25} = 0 : x = \frac{1}{1.11150 \dots}

x = 0, x = \frac{1}{1.11150 \dots}

Verify Solutions:

x = 0

True

, x = \frac{1}{1.11150 \dots}

True

The solutions are

x = 0, x = \frac{1}{1.11150 \dots}

2 x - 3 - 1 = x

4 = \frac{x}{2 x - 2}

1 + x - 1 = 0.05

x^{2} - x + 1 = 1

2 x + 1 + x - 1 = 4

What is the answer to x^{1.15}=1.02678x^{1.4} ?
The answer to x^{1.15}=1.02678x^{1.4} is x=0,x= 1/(1.11150…)
Solve for x: x^{1.15}=1.02678x^{1.4}
The solution is x=0,x= 1/(1.11150…)