(a) What is wrong with the following equation? x^2 + x - 42/x - 6 = x + 7 (x - 6

Question

(a) What is wrong with the following equation? x^2 + x - 42/x - 6 = x + 7 (x - 6)(x + 7) is not equal to x^2 + x - 42 The left-hand side is not defined for x = 0, but the right-hand side is. The left-handed side is not defined for x = 6, but the right-hand side is. None of these - the equation is correct. (b) In view of part (a), explain why the equation is correct Since x^2 + x - 42/x - 6 and x + 7 are both continuous, the equation follows. Since the equation holds for all x is not equal to 6, it follows that both sides of the equation approach the same limit as x --> 6 This equation follows from the fact that the equation in part (a) is correct. None of these - the equation is not correct.

Explanation / Answer

1 ) left hand side is not defined at x=6 so equation is wrong

2) in second equation x tends to 6 but not equalto 6 so equation is correct

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.