For the following quadratic equation, find the discriminant. x^(2)-12 x+70=0 Answer:

Identify coefficients: Identify the coefficients of the quadratic equation. The standard form of a quadratic equation is ax^2 + bx + c = 0. In the given equation, x^2 - 12x + 70 = 0, the coefficients are: a = 1 (coefficient of x^2) b = -12 (coefficient of x) c = 70 (constant term)Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation. The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by the formula D = b^2 - 4ac.Substitute coefficients: Substitute the identified coefficients into the discriminant formula. Using the values of a, b, and c from Step 1, we get: D = (-12)^2 - 4(1)(70)Calculate discriminant: Calculate the discriminant. D = 144 - 4(70) D = 144 - 280 D = -136

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For the following quadratic equation, find the discriminant.

x^(2)-12 x+70=0
Answer:

For the following quadratic equation, find the discriminant. $\newline$ $x^{2}-12 x+70=0$ $\newline$ 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}-12 x+70=0

\newline

Answer:

Identify coefficients: Identify the coefficients of the quadratic equation. $\newline$ The standard form of a quadratic equation is $ax^2 + bx + c = 0$ . In the given equation, $x^2 - 12x + 70 = 0$ , the coefficients are: $\newline$ a = $1$ (coefficient of $x^2$ ) $\newline$ b = $-12$ (coefficient of $x$ ) $\newline$ c = $70$ (constant term)
Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation. The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by the formula $D = b^2 - 4ac$ .
Substitute coefficients: Substitute the identified coefficients into the discriminant formula. $\newline$ Using the values of $a$ , $b$ , and $c$ from Step $1$ , we get: $\newline$ $D = (-12)^2 - 4(1)(70)$
Calculate discriminant: Calculate the discriminant. $\newline$ $D = 144 - 4(70)$ $\newline$ $D = 144 - 280$ $\newline$ $D = -136$