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Popular Word Problems >

the sum of a number and twice its square is 6

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

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

Popular Examples

62% of what number is 186 the sum of the squares of two consecutive integers is sixty-one Suppose you deposit \$1500 in a savings account that pays interest at a annual rate of 6%. No money is added or withdrawn from the account. How much will be in the account after 5 years Find number whose logarithm is 1.3247 The sum of 3 times a number and 8 equals 9