x^2+x-3=0, solution set = _______Question 2Answera.{1, 3}b.{-3, -1}c.{-1.-3}d.{1, -3}
Question
x^2 + x - 3 = 0, solution set = _______
Question 2
Answer
- a. {1, 3}
- b. {-3, -1}
- c. {-1, -3}
- d. {1, -3}
Solution
To find the solution set for the equation x^2 + x - 3 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / 2a.
For this equation, a = 1, b = 1, and c = -3.
Step 1: Calculate the value under the square root, b^2 - 4ac = (1)^2 - 41(-3) = 1 + 12 = 13.
Step 2: Calculate the two possible values for x using the quadratic formula:
x = [-1 + sqrt(13)] / 21 = 0.302 x = [-1 - sqrt(13)] / 21 = -3.302
So, the solution set for the equation x^2 + x - 3 = 0 is {0.302, -3.302}. This option is not listed in the provided choices.
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