Show How To Solve 3x^2+36x=-60 By Quadratic Formula You Must Show All Work And Steps Chaeck Your Answers And State Your Solution Set

show how to solve 3x^2+36x=-60 by quadratic formula you must show all work and steps chaeck your answers and state your solution set

Answer:

x = -2

x = -10

Step-by-step explanation:

Given: 3x^2+36x=-60

First, transform the quadratic equation into standard form:

standard form: ax² + bx + c = 0

3x² + 36x + 60 = 0

a = 3

b = 36

c = 60

then substitute a, b and c to the quadratic formula:

Quadratic formula: x = -b ± √(b² - 4ac) / (2a)

x = {-36 ± √(36)² - 4(3)(60) }/ 2(3)

x = -36 ± √(1296 - 720) / 6

x = -36 ± √(576) / 6

x = -36 ± 24/ 6

x = -6 ± 4

x = -6 + 4 = -2

x = -6 -4 = -10

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