Write a quadratic equation with the roots 1/2 and -5

2 + 9x - 5 = 0

Step-by-step explanation:

// Use the Vijet's theorem,

// note that the kofficient before = 1

Sum of the roots is:

1/2 + (-5) = - 4,5

Product of the roots is:

0,5 * (-5) = - 2,5

Formation of quadratic equation:  

- (sum of the roots) x + product of the roots  =  0

- (-4,5) * x + (-2,5) = 0

+ 4,5x -2,5 = 0

// multiply both sides by 2

2 + 9x - 5 = 0

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