Which shows the equation below written in the form ax2 + bx + c = 0?x + 10 = 3(x - 1)2A.3x2 - 7x - 7 = 0B.3x2 - 7x + 13 = 0C.3x2 - 5x + 13 = 0D.3x2 - 5x - 7 = 0SUBMITarrow_backPREVIOUS
Question
Which shows the equation below written in the form ax2 + bx + c = 0?x + 10 = 3(x - 1)2A.3x2 - 7x - 7 = 0B.3x2 - 7x + 13 = 0C.3x2 - 5x + 13 = 0D.3x2 - 5x - 7 = 0SUBMITarrow_backPREVIOUS
Solution
First, let's simplify the given equation x + 10 = 3(x - 1)².
Step 1: Expand the right side of the equation. (x - 1)² = x² - 2x + 1. Multiply this by 3 to get 3x² - 6x + 3.
So, the equation becomes x + 10 = 3x² - 6x + 3.
Step 2: Rearrange the equation to the form ax² + bx + c = 0.
Subtract x and 10 from both sides to get 0 = 3x² - 7x - 7.
So, the equation in the form ax² + bx + c = 0 is 3x² - 7x - 7 = 0.
Therefore, the correct answer is A. 3x² - 7x - 7 = 0.
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