What is the answer to x^{0.4}x+1=3x*x+1 ?

The answer to x^{0.4}x+1=3x*x+1 is x=0,x= 1/(3\sqrt[3]{9)}

Solve for x: x^{0.4}x+1=3x*x+1

The solution is x=0,x= 1/(3\sqrt[3]{9)}

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x^{0.4} x + 1 = 3 x \cdot x + 1

Decimal Notation

x = 0, x = 0.16024 \dots

Solution steps

x^{0.4} x + 1 = 3 xx + 1

Subtract

3 xx + 1

from both sides

x^{0.4} x + 1 - (3 xx + 1) = 3 xx + 1 - (3 xx + 1)

Simplify

- 3 x^{2} + x^{0.4} x = 0

Factor

- 3 x^{2} + x^{0.4} x : x (- 3 x + x^{0.4})

x (- 3 x + x^{0.4}) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or - 3 x + x^{0.4} = 0

Solve

Verify Solutions:

x = 0

True

The solutions are

k^{\frac{3}{2}} = 27

6 x^{2} - 5 x - 2 = 0

5 x^{\frac{3}{4}} = 40

x + 4 x - 4 = 5

3 x + 13 = x + 1

What is the answer to x^{0.4}x+1=3x*x+1 ?
The answer to x^{0.4}x+1=3x*x+1 is x=0,x= 1/(3\sqrt[3]{9)}
Solve for x: x^{0.4}x+1=3x*x+1
The solution is x=0,x= 1/(3\sqrt[3]{9)}