Question

if a+b+c=0then the root are​

Answer 1

Answer:Given three integers a, b and c such that a + b + c = 0. The task is to find the roots of a quadratic equation ax2 + bx + c = 0.

Examples:  

 

Input: a = 1, b = 2, c = -3  

Output: 1, -3

Input: a = -5, b = 3, c = 2  

Output: 1, -2.5

pproach: When a + b + c = 0 then the roots of the equation ax2 + bx + c = 0 are always 1 and c / a.  

For example,  

 

Take a = 3, b = 2 and c = -5 such that a + b + c = 0  

Now, the equation will be 3x2 + 2x – 5 = 0  

Solving for x,  

3x2 + 5x – 3x – 5 = 0  

x * (3x + 5) -1 * (3x + 5) = 0  

(x – 1) * (3x + 5) = 0  

x = 1, x = (-5 / 3) = (c / a)