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Popular Word Problems >

The sum of a number and twice its square is 6 . Find the number.

Solution

T h e s u m o f a n u mb er an d tw i ce i t s s q u a re i s 6 . F in d t h e n u mb er .

Solution

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

Solution steps

Represent the number with

x

A.T.Q.:

x + 2 x^{2} = 6

Solve for

x, x + 2 x^{2} = 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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