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What is the largest integral value of m such that the quadratic equation x2 – 10x + m will have two unique solutions?
- a)23
- b)24
- c)25
- d)26
- e)27
Correct answer is option 'B'. Can you explain this answer?
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What is the largest integral value of m such that the quadratic equati...
This question is made for the discriminant! You won’t have to guess and check if you know how to use the formula appropriately. To find D, plug in the following to the formula:
a = 1
b = −10
c = m
D = b2 – 4ac
D= (−10)2 − 4(1)(m) = 100 – 4m
b = −10
c = m
D = b2 – 4ac
D= (−10)2 − 4(1)(m) = 100 – 4m
Now, we know that we’re looking for two real solutions, so we want D = 100 – 4m > 0.
100 – 4m > 0 ⟹ 100 > 4m ⟹ 25 > m
So, we get m < 25. Be careful NOT to choose 25 as your answer! The largest integer that is less than 25 would be 24.
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What is the largest integral value of m such that the quadratic equation x2 – 10x + m will have two unique solutions?a)23b)24c)25d)26e)27Correct answer is option 'B'. Can you explain this answer?
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