Question

Find the value of m if the equation ( − 2)2 − (5 + ) + 16 = 0 has real and equal

roots.​

Answer 1

Step-by-step explanation:

Given quadratic equation can be written as,

x

2

−(2m)x+(8m−15)=0

Now for equal roots, Discriminant =0

⇒b

2

−4ac=0

⇒(−2m)

2

−4(8m−15)=0

⇒m

2

−8m+15=0

⇒(m−3)(m−5)=0, factor

⇒m=3,5