Let x and y be these two numbers. Then x + y = 1, (1) xy = -14. (2) From (1) x = 1-y. Substitute it into (2). You will get y*(1-y) = 14, or= . Solve this quadratic equation by using the quadratic formula (factoring doesn't work): = = . The roots are = and = . Thus the solutions to the problem are these two numbers , .
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| Quadratic equation For these solutions to exist, the discriminant First, we need to compute the discriminant The discriminant -55 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -55 is + or - The solution is Here's your graph: |