Find the discriminant. 9t^2 + 7t - 7 = 0 ____

Identify values of a, b, c: Identify the values of a, b, and c from the quadratic equation 9t^2 + 7t - 7 = 0. Comparing at^2 + bt + c = 0 with 9t^2 + 7t - 7 = 0, we find: a = 9 b = 7 c = -7Use discriminant formula: Use the discriminant formula D = b^2 - 4ac to find the discriminant of the quadratic equation. Substitute 9 for a, 7 for b, and -7 for c in the formula. D = (7)^2 - 4 * 9 * (-7)Calculate the discriminant: Calculate the discriminant. D = 49 - 4 * 9 * (-7) D = 49 + 252 D = 301

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Find the discriminant. $\newline$ $9t^2 + 7t - 7 = 0$

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

9t^2 + 7t - 7 = 0

Identify values of $a$ , $b$ , $c$ : Identify the values of $a$ , $b$ , and $c$ from the quadratic equation $9t^2 + 7t - 7 = 0$ . Comparing $at^2 + bt + c = 0$ with $9t^2 + 7t - 7 = 0$ , we find: $a = 9$ $b$ $0$ $b$ $1$
Use discriminant formula: Use the discriminant formula $D = b^2 - 4ac$ to find the discriminant of the quadratic equation. $\newline$ Substitute $9$ for $a$ , $7$ for $b$ , and $-7$ for $c$ in the formula. $\newline$ $D = (7)^2 - 4 \times 9 \times (-7)$
Calculate the discriminant: Calculate the discriminant. $\newline$ $D = 49 - 4 \times 9 \times (-7)$ $\newline$ $D = 49 + 252$ $\newline$ $D = 301$