The only solution of the equation x2 + bx + 16 = 0 is x = 4. what is the value of b? b = –16 b = –8 b = 8 b = 16

Option B is correct.

value of b = -8

Step-by-step explanation:

Given the equation:

As per the condition: The only solution for the given equation is, x = 4.

Substitute this value of x =4 in given equation, to solve for b;

Simplify:

or

Subtract 32 on both sides, we get;

32 + 4b -32 = 0-32

Simplify:

4b = -32

Divide both sides by 4 we get;

b = -8

therefore, the value of b = -8

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)