1. 2x2 + 4x = 3 Solution: A. Write the equation in standard form. B. Determine the values of a, band c. C. Substitute the values of a, b and c in the quadratic formula. D. Simplify.
Incorrect. Remember that in standard form, the equation is written in the form ax2 + bx + c = 0.3x + x2 = 6 becomes 3x + x2 – 6 = 0, so the standard form is x2 + 3x – 6 = 0. This means the correct answer is a = 1, b = 3, and c = −6.
B) a = 1, b = 3, c = 6
Incorrect. You put the terms in the correct order, but the right side must be equal to 0. The c must be on the left side of the equation. 3x + x2 = 6 becomes 3x + x2 – 6 = 0, so the standard form is x2 + 3x – 6 = 0. This means the correct answer is a = 1, b = 3, and c = −6.
C) a = 1, b = 3, c = −6
Correct. 3x + x2 = 6 becomes 3x + x2 – 6 = 0, so the standard form is x2 + 3x – 6 = 0. This means a = 1, b = 3, and c = −6.
D) a = 3, b = 1, c = −6
Incorrect. Remember that in standard form, the equation is written in the form ax2 + bx + c = 0. You correctly found that 3x + x2 = 6 becomes 3x + x2 – 6 = 0. Putting the terms in order gives the standard form x2 + 3x – 6 = 0. This means the correct answer is a = 1, b = 3, and c = −6.
Answers & Comments
Answer:
Incorrect. Remember that in standard form, the equation is written in the form ax2 + bx + c = 0.3x + x2 = 6 becomes 3x + x2 – 6 = 0, so the standard form is x2 + 3x – 6 = 0. This means the correct answer is a = 1, b = 3, and c = −6.
B) a = 1, b = 3, c = 6
Incorrect. You put the terms in the correct order, but the right side must be equal to 0. The c must be on the left side of the equation. 3x + x2 = 6 becomes 3x + x2 – 6 = 0, so the standard form is x2 + 3x – 6 = 0. This means the correct answer is a = 1, b = 3, and c = −6.
C) a = 1, b = 3, c = −6
Correct. 3x + x2 = 6 becomes 3x + x2 – 6 = 0, so the standard form is x2 + 3x – 6 = 0. This means a = 1, b = 3, and c = −6.
D) a = 3, b = 1, c = −6
Incorrect. Remember that in standard form, the equation is written in the form ax2 + bx + c = 0. You correctly found that 3x + x2 = 6 becomes 3x + x2 – 6 = 0. Putting the terms in order gives the standard form x2 + 3x – 6 = 0. This means the correct answer is a = 1, b = 3, and c = −6.
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