Question
Find the error in the following solutions.
3𝑥^2 − 5𝑥 + 8 = 0
𝑥 =−𝑏±√𝑏2−4𝑎𝑐/2𝑎
𝑥 =5±√25+96/6
𝑥 =5±√121/6
𝑥 =5±11/6
𝑥 =16/6=8/3
𝑥 =−6/6= −1
3𝑥^2 − 5𝑥 + 8 = 0
𝑥 =−𝑏±√𝑏2−4𝑎𝑐/2𝑎
𝑥 =5±√25+96/6
𝑥 =5±√121/6
𝑥 =5±11/6
𝑥 =16/6=8/3
𝑥 =−6/6= −1
Answers
GPT 3.5
The error in the solution is in the step where they simplified √121 to 11.
√121 actually equals 11 because the square root of a number is always positive.
So, the correct solutions are 𝑥 = 5±√121/6, which simplifies to 𝑥 = 5±11/6.
√121 actually equals 11 because the square root of a number is always positive.
So, the correct solutions are 𝑥 = 5±√121/6, which simplifies to 𝑥 = 5±11/6.