Answer:
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Given is the quadratic equation.
A quadratic equation has two real solutions if the discriminant is positive.
Set inequality and solve for m:
- D = b² - 4ac, where a = 3, b = 7, c = - (m + 1)
- D = 7² + 4*3*(m + 1)
- 7² + 4*3*(m + 1) > 0
- 49 + 12m + 12 > 0
- 12m + 61 > 0
- 12m > - 61
- m > - 61/12
- m > - 5 1/12
