Question

If mx² + 2x - 5 = 0, write an inequality such

Answer 1

The inequality which makes the function have two real roots is; m > -1/5.

What is the inequality which makes the function have two real roots?

It follows from the task content that the required inequality may be determined by subjecting the determinant to greater than 0 as follows;

D > 0

b² - 4ac > 0

(2)² - 4(m)(-5) > 0

4 +20m > 0

20m > -4

m > -4/20

m > -1/5

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