What is the answer to 0=0.5986x-(1.4x^{0.9})-200 ?

The answer to 0=0.5986x-(1.4x^{0.9})-200 is x=7652.37321…

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0=0.5986x-(1.4x^{0.9})-200

0 = 0.5986 x - (1.4 x^{0.9}) - 200

x = 7652.37321 \dots

Solution steps

0 = 0.5986 x - (1.4 x^{0.9}) - 200

Use the following exponent property

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

x^{0.9} = (x^{\frac{1}{10}})^{(0.9 \cdot 10)}

0 = 0.5986 (x^{\frac{1}{10}})^{10} - 1.4 (x^{\frac{1}{10}})^{9} - 200

Rewrite the equation with

x^{\frac{1}{10}} = u

0 = 0.5986 u^{10} - 1.4 u^{9} - 200

Solve

0 = 0.5986 u^{10} - 1.4 u^{9} - 200 : u \approx - 1.63621 \dots, u \approx 2.44556 \dots

u \approx - 1.63621 \dots, u \approx 2.44556 \dots

Substitute back

u = x^{\frac{1}{10}},

solve for

x

Solve

x^{\frac{1}{10}} = - 1.63621 \dots :

No Solution for

x \in R

Solve

x^{\frac{1}{10}} = 2.44556 \dots : x = 7652.37321 \dots

x = 7652.37321 \dots

Verify Solutions:

x = 7652.37321 \dots

True

The solution is

x = 7652.37321 \dots

4 x - 11 = 7 2 x - 29

x - 12 = 8

x - 12 = 5

6 y - 1 = 6

2 x^{2} - 4 x - x = 0

What is the answer to 0=0.5986x-(1.4x^{0.9})-200 ?
The answer to 0=0.5986x-(1.4x^{0.9})-200 is x=7652.37321…
Solve for x: 0=0.5986x-(1.4x^{0.9})-200
The solution is x=7652.37321…