Solve x^2-6.252*10^-5x+1.0*10^-7

$$x ^ { 2 } - 6.252 \times 10 ^ { - 5 } x + 1.0 \times 10 ^ { - 7 }$$

Evaluate

$$x^{2}-\frac{1563x}{25000000}+0.0000001$$

Solution Steps

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$x^{2}-6.252\times \frac{1}{100000}x+1\times 10^{-7}$$

Multiply 6.252 and \frac{1}{100000} to get \frac{1563}{25000000}.

$$x^{2}-\frac{1563}{25000000}x+1\times 10^{-7}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$x^{2}-\frac{1563}{25000000}x+1\times \frac{1}{10000000}$$

Multiply 1 and \frac{1}{10000000} to get \frac{1}{10000000}.

$$x^{2}-\frac{1563}{25000000}x+\frac{1}{10000000}$$

Factor

$$\frac{50000000x^{2}-3126x+5}{50000000}$$

Solution Steps

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$factor(x^{2}-6.252\times \frac{1}{100000}x+1\times 10^{-7})$$

Multiply 6.252 and \frac{1}{100000} to get \frac{1563}{25000000}.

$$factor(x^{2}-\frac{1563}{25000000}x+1\times 10^{-7})$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$factor(x^{2}-\frac{1563}{25000000}x+1\times \frac{1}{10000000})$$

Multiply 1 and \frac{1}{10000000} to get \frac{1}{10000000}.

$$factor(x^{2}-\frac{1563}{25000000}x+\frac{1}{10000000})$$

Factor out \frac{1}{50000000}. Polynomial 50000000x^{2}-3126x+5 is not factored since it does not have any rational roots.

$$\frac{50000000x^{2}-3126x+5}{50000000}$$