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If x is real, then find the the minimum value of (5x2 - 2x + 7).
- a)34/5
- b)-34/5
- c)36/5
- d)-36/5
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If x is real, then find the the minimum value of (5x2 - 2x + 7).a)34/5...
Given:
x is the real number.
5x2 - 2x + 7
Concept used:
In Quadratic Polynomial ax2 + bx + c
When, a > 0
Minimum value = (4ac - b2)/4a
Calculation:
5x2 - 2x + 7
Compare the above equation with quadratic polynomial ax2 + bx + c.
a = 5, b = -2 and c = 7
Now,
Minimum value = (4ac - b2)/4a
⇒ Mininmum value = (4 × 7 × 5 - 4)/20
⇒ Minimum value = 136/20
⇒ Mininmum value = 34/5
∴ 34/5 is the minimum value of 5x2 - 2x + 7.
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If x is real, then find the the minimum value of (5x2 - 2x + 7).a)34/5b)-34/5c)36/5d)-36/5Correct answer is option 'A'. Can you explain this answer?
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