Question

B+4/b²+7
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a) b=−4
b) b= 7
c) b=−7
d) b=0

Answer 1

To solve the equation b+4/b²+7, we substitute the given values of b and solve the expression. The correct answer is b = -7.

Step-by-step explanation:

To solve the equation b + 4 / b² + 7, we need to substitute the given values for b and solve for the expression. Let's go through the options one by one:

1. If b = -4, the expression becomes -4 + 4 / (-4)² + 7. Simplifying further, we get -4 + 4 / 16 + 7 = -4 + 1/4 + 7 = 3 1/4.
2. If b = 7, the expression becomes 7 + 4 / (7)² + 7. Simplifying further, we get 7 + 4 / 49 + 7 = 7 + 4/49 + 7 = 14 4/49.
3. If b = -7, the expression becomes -7 + 4 / (-7)² + 7. Simplifying further, we get -7 + 4 / 49 + 7 = -7 + 4/49 + 7 = 0 4/49.
4. If b = 0, the expression becomes 0 + 4 / (0)² + 7. However, we cannot divide by 0, so this option is not valid.

Based on our calculations, the correct answer is c) b = -7.