Best Answer

x+x^2=72x^2 +x -72=0

(x+9)(x-8)=0

x=-9 or x=8

Q: If the sum of a number and its square is 72 then what is the number?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

82 + 8 = 64 + 8 = 72

62 + 72 = 85

The sum of the positive whole-number factors of 30 is 72.

The two square numbers are 72 + 62 = 49 + 36 = 85. The smaller number is therefore 6.

You take the square root of the number. If it is a perfect square, this will be a whole number. If it is not, it isn't a perfect square.

Related questions

82 + 8 = 64 + 8 = 72

no. 72 is not a square number.

62 + 72 = 85

sum of 14th square number and 10th square number

There are two solution: -3 and +2.

72 is rectangular.

25 is a square number, and the sum of 9 and 16 is 25. 9 and 16 are also square numbers.

36 is a perfect square number.

122

the answer is 34

The square root of 72 is an irrational number. Since 72 is not a perfect square, the decimal is endless. (just like the value of pi)

5