Which are the roots of the quadratic function f(b) = b ^ 2 - 75 Select

1.	Which are the roots of the quadratic function f(b) = b ^ 2 - 75 Select two options .
Answer» Quadratic function: LET $x$ be a VARIABLE, then a quadratic function is of the form $\quad\quad f(x)=ax^{2}+bx+c$ where $a,\:b,\:c\in\mathbb{R}$ with $a\neq 0$ Solution: The GIVEN quadratic function is $\quad\quad f(b)=b^{2}-75$ To find the roots of this function, we EQUATE $f(b)$ with zero $(0)$ $\Rightarrow f(b)=0$ $\Rightarrow b^{2}-75=0$ $\Rightarrow b^{2}=75$ $\Rightarrow b^{2}=3\times 25$ $\Rightarrow b^{2}=(\sqrt{3})^{2}\times 5^{2}$ $\Rightarrow b^{2}=(5\sqrt{3})^{2}$ $\Rightarrow b=\pm 5\sqrt{3}$ Answer: Therefore the roots of the given quadratic function are $\quad\quad\quad b=\pm 5\sqrt{3}$ .