Answer:
The smaller solution is (-9 - √21)/2 and the larger is (-9 + √21)/2
Step-by-step explanation:
Reduce this equation by dividing all four terms by 5:
x^2 + 9X + 15 = 0
The coefficients of the x terms here are a = 1, b = 9 and c = 15. Thus, the discriminant is b^2 - 4ac, or 81 - 4(1)(15), or 81 - 60 = 21.
The roots (solutions) are thus:
-b ±√discriminant -9 ±√21
x = ----------------------------- = -----------------
2a 2
The smaller solution is (-9 - √21)/2 and the larger is (-9 + √21)/2
