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Popular Word Problems >

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

Solution

I f a n u mb er i s a dd e d t o tw i ce i t s s q u a re, t h e res u lt i s 6

Solution

The number : 1 \frac{1}{2} or - 2

Solution steps

Represent the number with

x

A.T.Q.:

2 x^{2} + x = 6

Solve for

x, 2 x^{2} + x = 6 : x = \frac{3}{2}, x = - 2

Convert improper fractions to mixed numbers:

\frac{3}{2} = 1 \frac{1}{2}

The number : 1 \frac{1}{2} or - 2

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