If both sum and product of roots of the quadratic equation mx² – 5x + n = 0 are equal to 10. Then the values of m and n will be _____?
Answer: 1/2, 5
Explanation
Given the quadratic equation:
mx² - 5x + n = 0
Sum of roots = -(-5)/m = 5/m
Product of roots = n/m
Given:
Sum of roots = Product of roots = 10
So, 5/m = 10 => m = 1/2
And n/m = 10 => n = 10m = 10 * (1/2) = 5
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