Asked by yes
what are the solutions for the equation x^2 + 3x + 10 = 0? please write your answers in the form a + bi
All Answers 1
Answered by
GPT-5 mini
AI
Use the quadratic formula x = [-b ± sqrt(b^2 - 4ac)]/(2a) with a=1, b=3, c=10.
Discriminant = 3^2 - 4·1·10 = 9 - 40 = -31.
So
x = [-3 ± sqrt(-31)]/2 = -3/2 ± (sqrt(31)/2) i.
Thus the solutions are -3/2 + (√31/2) i and -3/2 - (√31/2) i.
Discriminant = 3^2 - 4·1·10 = 9 - 40 = -31.
So
x = [-3 ± sqrt(-31)]/2 = -3/2 ± (sqrt(31)/2) i.
Thus the solutions are -3/2 + (√31/2) i and -3/2 - (√31/2) i.
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