Question

find the condition that exactly one root is 0 ax2+bx+c=0​

Answer 1

A1/A2 is not = B1/B2

Step-by-step explanation:

this is the condition for a unique solution

Answer 2

Answer:

a,b ≠0, c=0

Step-by-step explanation:

• ax²+bx+c= 0

Roots are x₁ and x₂

• (x-x₁)(x-x₂)

• if x₁ = 0 ⇒ x(x-x₂) = x² - xx₂, then c = 0

So, when c= 0 the equation becomes:

• ax²+bx = 0
• x(ax + b) = 0
• ax +b = 0
• x = -b/a

In order for this root to be different from zero, b must be non-zero and a must be non-zero

So condition must be:

• a,b ≠0, c=0