Question

For what values of mx,x²+(m+3)x+(m+6)=0 will have equal roots​

Answer 1

Answer:

We know that while finding the root of a quadratic equation ax  

2

+bx+c=0 by quadratic formula x=  2a −b±  b  2 −4ac ​  ,  if b  2

−4ac>0, then the roots are real and distinct  if b  2

−4ac=0, then the roots are real and equal and if b  2

−4ac<0, then the roots are imaginary.

Step-by-step explanation:

Here, the given quadratic equation x  2  −mx+9=0 is in the form ax  2 +bx+c=0 where a=1,b=−m and c=9.

(i) If the roots are equal then b  2 −4ac=0, therefore

b  2  −4ac=0

Hence m=±6 if the roots are equal, m>±6 if the roots are distinct and m<±6 if the roots are imaginary.