Question

Find the roots of $x^2 - 8x + 15 = 0$.

• A. 3, 5
• B. 2, 6
• C. 1, 7
• D. 4, 4

Hint:

Factorize quadratics by finding numbers that match the sum and product of roots.

Answer 1

The Correct Option is A

- Step 1: Factorize. Find numbers multiplying to 15, adding to $-8$: $-3, -5$. So, $x^2 - 8x + 15 = (x - 3)(x - 5) = 0$. Roots: $x = 3, 5$.
- Step 2: Verify. Sum = $3 + 5 = 8$, product = $3 \cdot 5 = 15$.
- Step 3: Conclusion. Option (1) 3, 5 is correct.