Question

y = ax^2 + 15x - 58Product of the roots = - 29Find the value of a.

Answer 1

The value of a = 2

Explanation:$y=ax^2\text{ + 15x - 58}$

Product of roots = -29

From formula of quadratic equation:

$\begin{gathered} s\text{ u m of roots = }\frac{-b}{a} \\ p\text{ roduct of roots = c/a} \end{gathered}$$\begin{gathered} \text{where a = a, b = }15,\text{ c = -58} \\ p\text{ roduct of roots = }\frac{-58}{a} \\ -29\text{ = }\frac{-58}{a} \end{gathered}$$\begin{gathered} \text{cross multiply:} \\ -29(a)\text{ = -58} \\ a\text{ = }\frac{-58}{-29} \\ a\text{ = 2} \end{gathered}$