16Hit1600
Advanced MathVery hardConstant from the difference of two roots

Advanced Math practice question

The equation x² + 4x + c = 0 has two real solutions that differ by 6. What is the value of c?

Answer: -5

The solutions sum to −4 and differ by 6, so they are −5 and 1. Their product is c = −5.

Common wrong answers

If you answered 5
5 has the sign wrong.
If you answered -4
−4 is the sum of the solutions.
If you answered -12
−12 multiplies −4 by 3 without finding the roots.

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