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Popular Word Problems >

seven times a certain number is 5 more than twice its square. find the number

Solution

se v e n t im es a cer t ain n u mb er i s 5 m ore t han tw i ce i t s s q u a re . f in d t h e n u mb er

Solution

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

Solution steps

Represent the number with

x

A.T.Q.:

7 x = 5 + 2 x^{2}

Solve for

x, 7 x = 5 + 2 x^{2} : x = \frac{5}{2}, x = 1

Convert improper fractions to mixed numbers:

\frac{5}{2} = 2 \frac{1}{2}

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

Popular Examples

"the difference between a number and 25 Set up a system of linear equations, and then solve for the indicated quantities.Four times the smaller of two numbers plus five times the larger number is-13 .Five times the smaller number minus five times the larger number is-5 .Find the numbers.Let x represent the smaller number. Let represent the larger number.five times the sum of a number and 3 is the same as 3 multiplied by 1 less then twice the number mary is 5 years older than lily. if the sum of their ages together is 51, what are their ages?6 is 15% of what number