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If x is real, then find the maximum value of (-3x2 + 5x + 10).
- a)-145/12
- b)95/12
- c)145/12
- d)-95/12
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If x is real, then find the maximum value of (-3x2 + 5x + 10).a)-145/1...
Given:
x is real.
-3x2 + 5x + 10
Concept used:
For quadratic polynomial ax2 + bx + c, When a < 0
Maximum value = (4ac - b2)/4a
Calculation:
-3x2 + 5x + 10
Compare the above equation with quadratic polynomial ax2 + bx + c.
a = -3, b = 5, c = 10
Here, a < 0 so
Maximum value = (4ac - b2)/4a
⇒ Maximum value = {4 × (-3) × 10 - 25)}/(-12)
⇒ Maximum value = {-145}/(-12)
⇒ Maximum value = 145/12
∴ 145/12 is the maximum value of -3x2 + 5x + 10.
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If x is real, then find the maximum value of (-3x2 + 5x + 10).a)-145/12b)95/12c)145/12d)-95/12Correct answer is option 'C'. Can you explain this answer?
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