SOLUTION: The square of the sum of two consecutive integers is 529. What are the integers? x = 1st integer x + 1 = 2nd integer (x + (x + 1))2 = 529 2x2 = 528 x2 = 264 x = 16.24...

Question 135912: The square of the sum of two consecutive integers is 529. What are the integers?
x = 1st integer
x + 1 = 2nd integer
(x + (x + 1))2 = 529
2x2 = 528
x2 = 264
x = 16.24....
Answer should be 11 and 12.

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
(x+(x+1))^2 does NOT equal 2x^2+1

(2x+1)(2x+1) __ FOILing __ 4x^2+4x+1=529

subtracting 1 and dividing by 4 __ x^2+x=132

subtracting 132 __ x^2+x-132=0 __ factoring __ (x+12)(x-11)=0

so x=-12 and x=11
RELATED QUESTIONS
the sum of two consecutive integers is 119.What are he integers ? 1st integer=59 2nd (answered by checkley77)

Give the representation of three consecutive integers. Let x=the 1st integer,then x+1... (answered by math_helper)

I have 5 questions 1) if x + 9 is an even integer, is x an even or odd integer? what... (answered by CubeyThePenguin)

The product of two consecutive odd integers is 575 what are the integers. x= 1st... (answered by checkley75)

the sum of three consecutive odd integers is less than 100. What are the greatest... (answered by funmath)

The sum of the squares of two consecutive integers is 613. What are the integers? Let x... (answered by Fombitz)

The product of two consecutive odd integers is 58 less than the square of the next... (answered by mananth)

Find 5 consecutive integers if the square of the 1st is less the square of the 3rd is... (answered by Mathtut)

Find two consecutive integers whose product is 72. x= 1st integer x+1 + 2nd integer (answered by stanbon)