👉 Jump to Master Edition Completing Squares Quiz
Part 1: Questions 1–5
Q1. Solve: x² − 2x − 15 = 0
a) x = −3, x = 5
Q2. Solve: x² + 2x = 35
a) x = −7, x = 5
Q3. Solve: 2x² + 8x − 7 = −2
a) x = (−4 ± √126)/2
Q4. Solve: 8x = 4x² − 1
a) x = (7 ± √165)/8
Q5. Solve: 2x² − 4x + 5 = 6
a) x = (2 ± √15)/2
Answer Key 🔑 (Q1–Q5)
- Q1 → x = −3, 5
- Q2 → x = −7, 5
- Q3 → x = (−4 ± √126)/2
- Q4 → x = (7 ± √165)/8
- Q5 → x = (2 ± √15)/2
Part 2: Questions 6–10
Q6. Solve: 6x = 4x² − 1
a) x = (7 ± √61)/6
Q7. Solve: x² + 2x − 8 = 0
a) x = −4, x = 2
Q8. Solve: x² − 7x = 18
a) x = −2, x = 9
Q9. Solve: 3x² − 2x − 2 = 4
a) x = (1 ± √13)/3
Q10. Solve: −7x = 3x² − 1
a) x = (−7 ± √165)/6
Answer Key 🔑 (Q6–Q10)
- Q6 → x = (7 ± √61)/6
- Q7 → x = −4, 2
- Q8 → x = −2, 9
- Q9 → x = (1 ± √13)/3
- Q10 → x = (−7 ± √165)/6
Part 3: Questions 11–14
Q11. Solve: x² − 2x − 1 = 2
a) x = −1, x = 3
Q12. Solve: x² + 3x = 40
a) x = −8, x = 5
Q13. Solve: x² + 4x = 3
a) x = −2 ± √17
Q14. Solve: 7x = 4x² − 1
a) x = (7 ± √165)/8
Answer Key 🔑 (Q11–Q14)
- Q11 → x = −1, 3
- Q12 → x = −8, 5
- Q13 → x = −2 ± √17
- Q14 → x = (7 ± √165)/8
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