Find the discriminant. 7r^2 - r + 5 = 0 ____

Identify values: Identify the values of a, b, and c from the quadratic equation in the form ax^2 + bx + c = 0. Comparing 7r^2 - r + 5 = 0 with ax^2 + bx + c = 0, we find: a = 7 b = -1 c = 5Calculate discriminant: Use the discriminant formula D = b^2 - 4ac to calculate the discriminant of the quadratic equation. Substitute 7 for a, -1 for b, and 5 for c in the formula. D = (-1)^2 - 4 * 7 * 5Find value: Perform the calculations to find the value of the discriminant. D = 1 - 4 * 7 * 5 D = 1 - 140 D = -139

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Find the discriminant. $\newline$ $7r^2 - r + 5 = 0$

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

7r^2 - r + 5 = 0

Identify values: Identify the values of $a$ , $b$ , and $c$ from the quadratic equation in the form $ax^2 + bx + c = 0$ . Comparing $7r^2 - r + 5 = 0$ with $ax^2 + bx + c = 0$ , we find: $a = 7$ $b = -1$ $c = 5$
Calculate discriminant: Use the discriminant formula $D = b^2 - 4ac$ to calculate the discriminant of the quadratic equation. $\newline$ Substitute $7$ for $a$ , $-1$ for $b$ , and $5$ for $c$ in the formula. $\newline$ $D = (-1)^2 - 4 \times 7 \times 5$
Find value: Perform the calculations to find the value of the discriminant. $\newline$ $D = 1 - 4 \times 7 \times 5$ $\newline$ $D = 1 - 140$ $\newline$ $D = -139$