Find the discriminant. 5y^2 - 6y - 6 = 0 ____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation 5y^2 - 6y - 6 = 0 by comparing it to the standard form ax^2 + bx + c = 0. Here, a = 5, b = -6, and c = -6.Calculate discriminant formula: Use the discriminant formula D = b^2 - 4ac to calculate the discriminant of the quadratic equation. Substitute the identified values into the formula: D = (-6)^2 - 4 * 5 * (-6).Perform calculations: Perform the calculations to find the discriminant. D = 36 - (-120) which simplifies to D = 36 + 120.Find final value: Complete the calculation to find the final value of the discriminant. D = 156.

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Find the discriminant. $\newline$ $5y^2 - 6y - 6 = 0$

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

5y^2 - 6y - 6 = 0

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation $5y^2 - 6y - 6 = 0$ by comparing it to the standard form $ax^2 + bx + c = 0$ . Here, $a = 5$ , $b = -6$ , and $c = -6$ .
Calculate discriminant formula: Use the discriminant formula $D = b^2 - 4ac$ to calculate the discriminant of the quadratic equation. $\newline$ Substitute the identified values into the formula: $D = (-6)^2 - 4 \times 5 \times (-6)$ .
Perform calculations: Perform the calculations to find the discriminant. $D = 36 - (-120)$ which simplifies to $D = 36 + 120$ .
Find final value: Complete the calculation to find the final value of the discriminant. $D = 156$ .