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find the discriminant of the quadratic equation and describe the number and type of solutions of the equation

find the discriminant of the quadratic equation and describe the number and type of-example-1
User Elletlar
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1 Answer

11 votes
11 votes

ANSWER


D=-23

Two solutions that are imaginary

Step-by-step explanation

To find the discriminant, we apply the formula:


D=b^2-4ac

where a = coefficient of x², b = coefficient of x, c = constant.

From the given equation:


a=1;b=-1,c=6

Therefore, the discriminant is:


\begin{gathered} (-1)^2-4(1)(6) \\ 1-24 \\ -23 \end{gathered}

The given equation is a quadratic equation, hence, it will have two solutions but because the discriminant is less than 0, it will have two imaginary/complex solutions.

User Kennedy
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