Find the discriminant. 8p^2 + 8p + 2 = 0 ____

Identify coefficients: Identify the coefficients of the quadratic equation. The quadratic equation is in the form ap^2 + bp + c = 0. For the equation 8p^2 + 8p + 2 = 0, the coefficients are: a = 8 b = 8 c = 2Use discriminant formula: Use the discriminant formula. The discriminant D of a quadratic equation ax^2 + bx + c = 0 is given by D = b^2 - 4ac. We will substitute the identified coefficients into this formula.Calculate discriminant: Calculate the discriminant. Substitute a = 8, b = 8, and c = 2 into the formula D = b^2 - 4ac to find the discriminant. D = (8)^2 - 4 * 8 * 2 D = 64 - 64 D = 0

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Find the discriminant. $\newline$ $8p^2 + 8p + 2 = 0$

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Algebra 1

Using the discriminant

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Q. Find the discriminant.

\newline

8p^2 + 8p + 2 = 0

Identify coefficients: Identify the coefficients of the quadratic equation. $\newline$ The quadratic equation is in the form $ap^2 + bp + c = 0$ . For the equation $8p^2 + 8p + 2 = 0$ , the coefficients are: $\newline$ a = $8$ $\newline$ b = $8$ $\newline$ c = $2$
Use discriminant formula: Use the discriminant formula. $\newline$ The discriminant $D$ of a quadratic equation $ax^2 + bx + c = 0$ is given by $D = b^2 - 4ac$ . We will substitute the identified coefficients into this formula.
Calculate discriminant: Calculate the discriminant. $\newline$ Substitute $a = 8$ , $b = 8$ , and $c = 2$ into the formula $D = b^2 - 4ac$ to find the discriminant. $\newline$ $D = (8)^2 - 4 \times 8 \times 2$ $\newline$ $D = 64 - 64$ $\newline$ $D = 0$