For the following quadratic equation, find the discriminant. x^(2)+4x+32=2x Answer:

Rearrange equation: Bring all terms to one side of the equation to get it into standard quadratic form ax^2 + bx + c = 0. Subtract 2x from both sides of the equation x^2 + 4x + 32 = 2x to get x^2 + 2x + 32 = 0.Identify coefficients: Identify the coefficients a, b, and c in the standard form of the quadratic equation. From x^2 + 2x + 32 = 0, we have a = 1, b = 2, and c = 32.Calculate discriminant: Use the discriminant formula D = b^2 - 4ac to find the discriminant of the quadratic equation. Substitute a = 1, b = 2, and c = 32 into the formula to get D = (2)^2 - 4(1)(32).Calculate the discriminant. D = 4 - 128 = -124.

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For the following quadratic equation, find the discriminant.

x^(2)+4x+32=2x
Answer:

For the following quadratic equation, find the discriminant. $\newline$ $x^{2}+4 x+32=2 x$ $\newline$ Answer:

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Algebra 2

Solve exponential equations by rewriting the base

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Q. For the following quadratic equation, find the discriminant.

\newline

x^{2}+4 x+32=2 x

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Answer:

Rearrange equation: Bring all terms to one side of the equation to get it into standard quadratic form $ax^2 + bx + c = 0$ . Subtract $2x$ from both sides of the equation $x^2 + 4x + 32 = 2x$ to get $x^2 + 2x + 32 = 0$ .
Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ in the standard form of the quadratic equation. $\newline$ From $x^2 + 2x + 32 = 0$ , we have $a = 1$ , $b = 2$ , and $c = 32$ .
Calculate discriminant: Use the discriminant formula $D = b^2 - 4ac$ to find the discriminant of the quadratic equation. $\newline$ Substitute $a = 1$ , $b = 2$ , and $c = 32$ into the formula to get $D = (2)^2 - 4(1)(32)$ .
Calculate discriminant: Use the discriminant formula $D = b^2 - 4ac$ to find the discriminant of the quadratic equation. $\newline$ Substitute $a = 1$ , $b = 2$ , and $c = 32$ into the formula to get $D = (2)^2 - 4(1)(32)$ .Calculate the discriminant. $\newline$ $D = 4 - 128 = -124$ .