16Hit1600
Advanced MathVery hardConstant for a single real solution

Advanced Math practice question

For what value of the constant c does the equation 2x² + 8x + c = 0 have exactly one real solution?

Answer: 8

One real solution means the discriminant is zero: 8² − 4(2)(c) = 64 − 8c = 0, so c = 8. (Then 2x² + 8x + 8 = 2(x + 2)².)

Common wrong answers

If you answered 4
4 is c/2 or the number inside (x + 2)² squared; the equation's c is 8.
If you answered 16
16 forgets the coefficient 2 in 4ac: 64 − 4c = 0 gives 16, but the x² coefficient is 2.
If you answered 64
64 is b², not c.

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