SOLUTION: What number when multiplied by itself is 13 greater than the preceding number when it is multiplied by itself

SOLUTION: What number when multiplied by itself is 13 greater than the preceding number when it is multiplied by itself

Algebra.Com

Question 1036125:
What number when multiplied by itself is 13 greater than the preceding number when it is multiplied by itself
Answer by Aldorozos(172) (Show Source): You can put this solution on YOUR website!
x*x = 13 +(x-1)(x-1) =
x^2 = 13 + (x^2-2x - 1)
x^2 =13 + x^2 -2x +1
x^2 cancels out from both sides
We end of having -2x +14 = 0
Then x = 7 and the preceding number is 6
We know that if we multiply 7*7 = 13 + 6*6
RELATED QUESTIONS
What number when multiplied by itself is 13 greater than the preceding number when it is... (answered by josgarithmetic)

What number, when multiplied by itself, is 31 greater than the preceding number when it... (answered by ikleyn)

What is the number which when multiplied by itself gives... (answered by ikleyn)

What number when multiplied by 4 exceeds itself by... (answered by ikleyn)

1)a number when multiplied by 5 exceeds itself by 32.the number... (answered by AnlytcPhil)

a number when multiplied by 4 is 33 more than... (answered by umail08)

Find all numbers with the property that when the number is added to itself the sum is the (answered by Alan3354)

what is it called when an integer is multiplied by itself (answered by ikleyn)

Start with a whole number and add together these four values: the number added to itself, (answered by ikleyn,stanbon)