Solve x=1000.09^2+1000.09^3+1000.09^4+1000.09^5

$$x = 100 { 0.09 }^{ 2 } +100 { 0.09 }^{ 3 } +100 { 0.09 }^{ 4 } +100 { 0.09 }^{ 5 }$$

Solve for x

$$x=0.89005149$$

Steps for Solving Linear Equation

Calculate 0.09 to the power of 2 and get 0.0081.

$$x=100\times 0.0081+100\times 0.09^{3}+100\times 0.09^{4}+100\times 0.09^{5}$$

Multiply 100 and 0.0081 to get 0.81.

$$x=0.81+100\times 0.09^{3}+100\times 0.09^{4}+100\times 0.09^{5}$$

Calculate 0.09 to the power of 3 and get 0.000729.

$$x=0.81+100\times 0.000729+100\times 0.09^{4}+100\times 0.09^{5}$$

Multiply 100 and 0.000729 to get 0.0729.

$$x=0.81+0.0729+100\times 0.09^{4}+100\times 0.09^{5}$$

Add 0.81 and 0.0729 to get 0.8829.

$$x=0.8829+100\times 0.09^{4}+100\times 0.09^{5}$$

Calculate 0.09 to the power of 4 and get 0.00006561.

$$x=0.8829+100\times 0.00006561+100\times 0.09^{5}$$

Multiply 100 and 0.00006561 to get 0.006561.

$$x=0.8829+0.006561+100\times 0.09^{5}$$

Add 0.8829 and 0.006561 to get 0.889461.

$$x=0.889461+100\times 0.09^{5}$$

Calculate 0.09 to the power of 5 and get 0.0000059049.

$$x=0.889461+100\times 0.0000059049$$

Multiply 100 and 0.0000059049 to get 0.00059049.

$$x=0.889461+0.00059049$$

Add 0.889461 and 0.00059049 to get 0.89005149.

$$x=0.89005149$$

Assign x

$$x≔0.89005149$$