Solve x=frac{sqrt{1256}+8943^0+3125/5^5+sqrt{1}}{1,5-2^-1+(-1)^2058}

$$x = \frac { \sqrt { 1256 } + 8943 ^ { 0 } + \frac { 3125 } { 5 ^ { 5 } } + \sqrt { 1 } } { 1,5 - 2 ^ { - 1 } + ( - 1 ) ^ { 2058 } }$$

Solve for x

$$x=\sqrt{314}+1,5\approx 19.220045147$$

Steps for Solving Linear Equation

Factor 1256=2^{2}\times 314. Rewrite the square root of the product \sqrt{2^{2}\times 314} as the product of square roots \sqrt{2^{2}}\sqrt{314}. Take the square root of 2^{2}.

$$x=\frac{2\sqrt{314}+8943^{0}+\frac{3125}{5^{5}}+\sqrt{1}}{1,5-2^{-1}+\left(-1\right)^{2058}}$$

Calculate 8943 to the power of 0 and get 1.

$$x=\frac{2\sqrt{314}+1+\frac{3125}{5^{5}}+\sqrt{1}}{1,5-2^{-1}+\left(-1\right)^{2058}}$$

Calculate 5 to the power of 5 and get 3125.

$$x=\frac{2\sqrt{314}+1+\frac{3125}{3125}+\sqrt{1}}{1,5-2^{-1}+\left(-1\right)^{2058}}$$

Divide 3125 by 3125 to get 1.

$$x=\frac{2\sqrt{314}+1+1+\sqrt{1}}{1,5-2^{-1}+\left(-1\right)^{2058}}$$

Add 1 and 1 to get 2.

$$x=\frac{2\sqrt{314}+2+\sqrt{1}}{1,5-2^{-1}+\left(-1\right)^{2058}}$$

Calculate the square root of 1 and get 1.

$$x=\frac{2\sqrt{314}+2+1}{1,5-2^{-1}+\left(-1\right)^{2058}}$$

Add 2 and 1 to get 3.

$$x=\frac{2\sqrt{314}+3}{1,5-2^{-1}+\left(-1\right)^{2058}}$$

Calculate 2 to the power of -1 and get \frac{1}{2}.

$$x=\frac{2\sqrt{314}+3}{1,5-\frac{1}{2}+\left(-1\right)^{2058}}$$

Subtract \frac{1}{2} from 1,5 to get 1.

$$x=\frac{2\sqrt{314}+3}{1+\left(-1\right)^{2058}}$$

Calculate -1 to the power of 2058 and get 1.

$$x=\frac{2\sqrt{314}+3}{1+1}$$

Add 1 and 1 to get 2.

$$x=\frac{2\sqrt{314}+3}{2}$$

Divide each term of 2\sqrt{314}+3 by 2 to get \sqrt{314}+\frac{3}{2}.

$$x=\sqrt{314}+\frac{3}{2}$$

Assign x

$$x≔\sqrt{314}+1,5$$