16Hit1600
Advanced MathHardPositive root of a quadratic with fractional solution

Advanced Math practice question

If 4x² + 4x − 3 = 0 and x > 0, what is the value of x?

Answer: 1/2 or 0.5

4x² + 4x − 3 = (2x − 1)(2x + 3), so the positive root is 1/2.

Common wrong answers

If you answered 1
1 gives 4 + 4 − 3 = 5.
If you answered -3/2
−3/2 is the negative root.
If you answered 3/4
3/4 is the value of x² + x, not x.

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