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10-11-2018
Mathematics

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If a number is added to twice its square, the result is 6

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10-11-2018

Hello :

This number is : x

you have : x + 2x² = 6

2x² + x -6 = 0

Δ = b² -4ac a = 2 , b = 1 , c = 6

Δ = 1² - 4(2)(6) = 49 = 7²

X1 = (- 1 +7)/4 = 3/2

X2 = (-1-7)/4 = -2

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