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

I believe the answer is b=-8

Step-by-step explanation:

To factor out x2 + bx + 16, the easiest way is to find out 2 different values that will add up to b but when multiplied is positive 16.

Given that the only solution to this equation above is x = 4. the factored out form should be (x - 4)^2 or (x-4)(x-4).

As b should be the addition of these two x values, b should be -8.

I believe the answer is b=-8

Step-by-step explanation:

To factor out x2 + bx + 16, the easiest way is to find out 2 different values that will add up to b but when multiplied is positive 16.

Given that the only solution to this equation above is x = 4. the factored out form should be (x - 4)^2 or (x-4)(x-4).

As b should be the addition of these two x values, b should be -8.

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step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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