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Select all the correct equations.

Which equations have no real solution but have two complex solutions?

3x2-5x=-8

2x2=6x-5

12x=9x2+4

-x2-10x=34

Select all the correct equations. Which equations have no real solution but have two-example-1
User Tapper
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1 Answer

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Answer:

All of these equations have two complex solutions.

Explanation:

The two complex solutions of a given equation refer to the two distinct solutions that can be obtained when the equation is solved. In this case, the equation is a polynomial equation with degree two (also known as a quadratic equation). The two complex solutions are found by using the quadratic formula, which states that if a, b, and c are given real or complex coefficients, then the two solutions to the equation ax2 + bx + c = 0 are: x = (-b ± √(b2 - 4ac))/2a. These two values will always be complex if the discriminant, b2 - 4ac, is negative. This means that these two complex solutions represent the two different roots of the equation.

User Cristian Sanchez
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