Question

Find the value of m if the roots of the following quadratic equations are equal:
(4+m)x^2 + (m+1)x + 1=0

Answer 1

Hi Mate!!!

For equal roots Descrimnant ( D ) must be equal to 0

D = √{ ( 1 + m )² - 4 ( 4 + m ) } = 0

Squaring both sides

( 1 + m )² - 16 - 4m = 0

m² -2m -15 = 0

m = 2 + √ 4 + ( 60 ) / 2 =5

or


m = 2 - √ ( 4 + 60 ) / 2 = -3

So, Value if m are 5 and -3

Answer 2

Hey mate
Here is your answer in image