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Wanna14ever
11.12.2019 •
Mathematics
What are the solutions of 3x2 + 15 = –6x?
a) –1 ± i
b) –1 ± 2i
c) –2 ± i
d) –2 ± 2i
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Ответ:
B) –1 ± 2i
Step-by-step explanation:
The equation; 3x² + 15 = –6x
Could be written as
3x²-6x + 15 = 0
Using the quadratic formula to solve for x
x = (-6 ± √(6²-4×3×15))/(2×3)
= (-6 ± √(36 - 180))/6
= (-6 ± √(-144))/6
but √-1 = i
Therefore;
= (-6 ± √(144)i)/6
= (-6 ± 12i)/6
= -1 ± 2i
Ответ:
Choice B is the answer.
Step-by-step explanation:
We have given a quadratic equation.
3x² + 15 = –6x
3x²+6x+15 = 0
We have to find the solution of above equation.
Taking 3 common from above expression, we have
3(x²+2x+5) = 0
x²+2x+5 = 0
From above equation, a = 1,b = 2 and c = 5
x = (-b±√b²-4ac ) / 2a is quadratic formula to solve equations.
Putting values in above formula ,we have
x = (-2±√(2)²-4(1)(5) ) / 2(1)
x = (-2±√4-20 ) / 2
x = (-2±√-16) / 2
x = (-2±√-1√16) / 2 ∵ i = √-1
x = (-2±4i) / 2
x = 2(-1±2i) / 2
x = -1±2i
Hence, the solution of given equation is -1±2i.
Ответ:
A
Step-by-step explanation:
u can tell by the graph