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Hitman42 [59]
3 years ago
14

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

Mathematics
1 answer:
Ksju [112]3 years ago
4 0
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. The correct option is the second option, b = -8.
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Coefficient of b in expansion of (3+b)^4
Margarita [4]
Are you sure you want ONLY the coefficient of b?  If you expand this, you will have b in 3 of 4 terms.

According to Pascal's Triangle, the coefficients of (a+b)^4 are as follows:

                             1
                        1    2    1
                   1      3    3     1
              1       4     6     4     1

So (a+b)^4 would be 1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4

Here, you want (3 + b)^4.  Here's what that looks like:

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Which coeff did you want?
4 0
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