Question

Let b = a + c. Then the equation ax2 + bx + c = 0 has equal roots if​

Answer 1

Answer:

a = c

Step-by-step explanation:

ax² + (a + c)x + c = 0

If D = 0, then quadratic trinomial has equal roots.

D = (a + c)² - 4ac = 0

a² + 2ac - 4ac + c² = 0

(a - c)² = 0 ⇒ a = c

Given quadratic trinomial has equal roots if a = c