Question
Solve for \( x \) \( x(x-2)=3 \)
Ask by Greene Paul. in South Africa
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = -1 \) or \( x = 3 \)
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
To solve the equation \( x(x-2)=3 \), we first rearrange the equation into standard form: \[ x^2 - 2x - 3 = 0 \] Next, we can factor the quadratic: \[ (x - 3)(x + 1) = 0 \] Setting each factor to zero gives us the possible solutions: \[ x - 3 = 0 \quad \text{or} \quad x + 1 = 0 \] This leads to: \[ x = 3 \quad \text{or} \quad x = -1 \] Thus, the solutions for \( x \) are \( x = 3 \) and \( x = -1 \).
