question

for the following quadratic equation, find the discriminant.

\8x^2 - 20x - 89 = 4x^2 + 6\

Question

question

for the following quadratic equation, find the discriminant.

\8x^2 - 20x - 89 = 4x^2 + 6\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Discriminant" ], "new_concepts": [], "current_concepts": [ "Quadratic Discriminant", "Quadratic Equations" ] } ## Rearrange the equation into standard form $$ \begin{aligned} 8x^2 - 20x - 89 &= 4x^2 + 6 \ 4x^2 - 20x - 95 &= 0 \end{aligned} $$ ## Identify the coefficients $$ \begin{aligned} a &= 4 \ b &= -20 \ c &= -95 \end{aligned} $$ ## Calculate the discriminant $$ \begin{aligned} D &= b^2 - 4ac \ D &= (-20)^2 - 4(4)(-95) \ D &= 400 + 1520 \ D &= 1920 \end{aligned} $$ 1920 { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Discriminant" ] }

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QUESTION IMAGE

Question

Explanation:

Rearrange the equation into standard form

Identify the coefficients

Calculate the discriminant

Answer: