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Sergeu [11.5K]
3 years ago
13

Solve this equations for all real solutions 3t^2+4t+8=-6t

Mathematics
1 answer:
ra1l [238]3 years ago
8 0

Answer:

t= -1.33 recurring and -2

Step-by-step explanation:

3t²+4t+8=-6t

3t²+4t+6t+8

3t²+10t+8

This is a quadratic equation, it can be solved by using either factorisation, completing the square method or formulae method. For the purpose of this question, I would be using the formulae method.

-b±√(b²-4ac)/2a

Where a=3, b= 10 and c=8

-10±√(10²-4(3)(8))/2(3)

-10±√(100-96)/6

(-10±√4)/6

(-10±2)/6

-10+2/6 or -10-2/6

-8/6 or -12/6

-1.3333 recurring or -2

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