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zubka84 [21]
3 years ago
15

What is the discriminant of 3x2 + 6x = 2?

Mathematics
2 answers:
nadezda [96]3 years ago
7 0
12 times something cannot equal to 2 unless it is a negative number,is there a negative number included?
zhannawk [14.2K]3 years ago
4 0

Answer:

The discriminant of the given equation is 60

Step-by-step explanation:

\text{Given the equation }3x^2+6x=2

we have to find the discriminant of above equation.

Equation:\thinspace 3x^2+6x-2=0

\text{Comparing above equation with general quadratic equation }ax^2+bx+c=0

a=3, b=6 and c=-2

The discriminant can be calculated by the formula

D=b^2-4ac

D=6^2-4(3)(-2)

D=36+24=60

Hence, the discriminant of the given equation is 60

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Step-by-step explanation:

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Please help me with this.
OLga [1]

Swapping rows alters the sign of the determinant:

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}

Multiplying a single row by a scalar scales the determinant by the same amount:

\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}

Then

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}

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