Question

if x^2-mx+2=0 and x^2-3x+2=0 has a common root, find m.​​

Answer 1

Answer:

x=−2

x=−1

Step-by-step explanation:

x  

2

+3x+2=0

To solve the equation, factor x  

2

+3x+2 using formula x  

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=3

ab=2

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. The only such pair is the system solution.

a=1

b=2

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+1)(x+2)

To find equation solutions, solve x+1=0 and x+2=0.

x=−1

x=−2.

hope it helps u.