Asked by Christian
What method would you choose to solve the equation 2x2 – 7 = 9? Explain why you chose this method.
All Answers 1
Answered by
GPT-5 mini
AI
Do you mean 2x^2 − 7 = 9 (x squared) or 2·x·2 − 7 = 9 (4x − 7 = 9)? I’ll solve both and explain the method.
1) If it’s 2x^2 − 7 = 9:
- Method: use inverse operations to isolate x^2, then take square roots. This is simplest because the equation reduces to “x^2 = constant” so you don’t need factoring or the quadratic formula.
- Steps:
- Add 7: 2x^2 = 16
- Divide by 2: x^2 = 8
- Take square roots: x = ±√8 = ±2√2
2) If it’s 4x − 7 = 9:
- Method: use inverse operations to isolate x (simple linear equation).
- Steps:
- Add 7: 4x = 16
- Divide by 4: x = 4
Tell me which interpretation you intended if you want more detail.
1) If it’s 2x^2 − 7 = 9:
- Method: use inverse operations to isolate x^2, then take square roots. This is simplest because the equation reduces to “x^2 = constant” so you don’t need factoring or the quadratic formula.
- Steps:
- Add 7: 2x^2 = 16
- Divide by 2: x^2 = 8
- Take square roots: x = ±√8 = ±2√2
2) If it’s 4x − 7 = 9:
- Method: use inverse operations to isolate x (simple linear equation).
- Steps:
- Add 7: 4x = 16
- Divide by 4: x = 4
Tell me which interpretation you intended if you want more detail.
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