Mathematics: What are the solutions of 3x2 + 6x + 15=0 ?

What are the solutions of 3x2 + 6x + 15=0 ? - id3261507046155, shymitch32

shongmadi77

30.01.2022

x = -1 ± 2i

Step-by-step explanation:

Quadratic Formula: $x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}$

√-1 = i

Step 1: Factor GCF

3(x² + 2x + 5)

Step 2: Use quadratic formula

a = 1

b = 2

c = 5

$x = \frac{-2+/-\sqrt{2^2-4(1)(5)} }{2(1)}$

$x = \frac{-2+/-\sqrt{4-20} }{2}$

$x = \frac{-2+/-\sqrt{-16} }{2}$

$x = \frac{-2+/-i\sqrt{16} }{2}$

$x = \frac{-2+/-4i }{2}$

$x = \frac{-2(-1+/-2i) }{2}$

x = -1 ± 2i

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kylaprather06

02.03.2023

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Step-by-step explanation:

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