Answer: x=0.1
Explanation:
Given
The function is given by
![F(x)=x^2-0.2x+0.01](https://img.qammunity.org/2022/formulas/mathematics/high-school/epdbimek0hqptgq7fgxo7yaz5pyr860ayt.png)
A standard quadratic equation is given by
![ax^2+bx+c=0](https://img.qammunity.org/2022/formulas/mathematics/high-school/t6uqvvtycvxfs3ia36acsn3vozrwpf5t7t.png)
The given equation has an exponent of x as 2 which confirms it is a quadratic equation. Compare it with the standard equation
![a=1,b=0.2,c=0.01](https://img.qammunity.org/2022/formulas/mathematics/high-school/kv5p6v94s88b7ct09t70u09hmk2yqw6jsa.png)
Therefore, the given equation is the quadratic equation.
Its solution is given by
![\Rightarrow x=(0.2\pm √((-0.2)^2-4* 1* 0.01))/(2* 1)\\\\\Rightarrow x=0.1](https://img.qammunity.org/2022/formulas/mathematics/high-school/b9t4xwvg2vuoa4jzi3s68gz6v6yc9eohnx.png)