Subjects algebra

Find Zeroes

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1. The problem is to find the zeroes of a function, which means finding the values of $x$ where the function equals zero. 2. Since the function is not specified, let's assume a general quadratic function $f(x) = ax^2 + bx + c$. 3. To find the zeroes, solve the equation $ax^2 + bx + c = 0$. 4. Use the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$. 5. Calculate the discriminant $\Delta = b^2 - 4ac$. 6. If $\Delta > 0$, there are two distinct real zeroes. 7. If $\Delta = 0$, there is one real zero (a repeated root). 8. If $\Delta < 0$, there are no real zeroes (complex roots). 9. Substitute the values of $a$, $b$, and $c$ from the specific function to find the zeroes. 10. If you provide the function, I can calculate the exact zeroes for you.