Please solve this question
1 answer:
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Answer:
- b = {20, -20}
Step-by-step explanation:
<u>Given function:</u>
- f(x) = -x² + bx - 65 with maximum value of 35
<u>To find </u>
- The value of b
<u>Solution:</u>
Maximum value is obtained at vertex as a < 0
<u>Vertex coordinate of x is:</u>
- x = -b/2a = -b / -2 = 1/2b
<u>Solving for b:</u>
- 35 = - (1/2b)² + b(1/2b) - 65
- - 1/4b² + 1/2b² = 100
- 1/4b² = 100
- b² = 400
- b = √400
- b = ± 20
See attached
