After being rearranged and simplified, which two of the following equations could be solved using the quadratic formula? A) 5x^3+2x-4=2x^2 B) x^2-6x-7=2x^2 C) 2x^2-3x+10=2x^2+21 D) 5x^2-3x+10=2x^2

Question

Mathematics

Cindy Daugherty

26 September, 17:47

After being rearranged and simplified, which two of the following equations could be solved using the quadratic formula? A) 5x^3+2x-4=2x^2 B) x^2-6x-7=2x^2 C) 2x^2-3x+10=2x^2+21 D) 5x^2-3x+10=2x^2

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Answers (1)

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Cameron Kim · Answer 1

B & D

Step-by-step explanation:

The quadratic formula can be used to solve for x for any quadratic. Recall a quadratic is any function whose highest exponent known as degree is 2. Looking at the answer selections, A has one term with exponent 3. This isn't possible in the formula. Looking at answer C, the term with exponent 2 has the same coefficient on each side of the equal sign. When it is rearranged these will cancel out no exponent of 2 will be in the equation anymore. Only B & D work after being rearranged and simplified