Question

If one root of the equation x²=3x-10 is 5 find other root​

Answer 1

Answer:

a*b= -c/a.

-10/1

a*5. = -10

a=-10/5

=-2

Answer 2

Answer:  {–2, 5}.

Step-by-step explanation:

The quadratic expression in x can be easily factored as follows:  

x² – 3x – 10 = (x + 2)(x – 5) = 0

Now, by the Zero Product Property, i.e., if “a” and “b” are real numbers, then ab = 0 if and only if a = 0 or b = 0; therefore,

x + 2 = 0               or   x – 5  = 0

x + 2 – 2 = 0 – 2   or   x – 5 + 5 =  0 + 5

x = –2                   or   x = 5

 

Therefore, the solution set of our given quadratic equation is {–2, 5}.