Mathematics · Algebra
A student solved the quadratic equation x2 + 6x = 27 in the following way:
x2 + 6x + 9 = 27 + 9
(x + 3)2 = 36
x + 3 = 6
x = 6 - 3
x = 3
Which of the following represents the error committed by the student?
x2 + 6x + 9 = 27 + 9
(x + 3)2 = 36
x + 3 = 6
x = 6 - 3
x = 3
Which of the following represents the error committed by the student?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1There is no mistake as both roots are equal
- 2Not including the negative root in the solution✓
- 3Using the wrong algebraic identity
- 4Adding 9 on both sides of the equation
Correct answer
Not including the negative root in the solution
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