SOLUTION: i dont understand how you can turn this into a quadratic equation,
The sum of the squares of three consecutive integers is 434. Find the integers.
Help please.
- Alex
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Quadratic Equations and Parabolas
-> SOLUTION: i dont understand how you can turn this into a quadratic equation,
The sum of the squares of three consecutive integers is 434. Find the integers.
Help please.
- Alex
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Question 1282: i dont understand how you can turn this into a quadratic equation,
The sum of the squares of three consecutive integers is 434. Find the integers.
Help please.
- Alex Found 2 solutions by iamlegallyblond7, usyim88hk:Answer by iamlegallyblond7(7) (Show Source):
You can put this solution on YOUR website! the sum of the squares of three consecutive integers.
well three consecutive integers are x, x+1, and x+2
so the squares of these integers are (x)^2, (x+1)^2, and (x+3)^2=
x^2, x^2+2x+1, and x^2+6x+9
so the sum of the squares are:
3x^2+8x+10=434
then you solve!
You can put this solution on YOUR website! Let x be the smallest integer and x+1 be the second one and x+2 be the third one:
x^2 + (x+1)^2 + (x+2)^2 = 434
x^2 + (x^2+2x+1) + (x^2+4x+4) = 434
x^2+x^2+x^2+2x+4x+1+4 = 434
3x^2+6x-429 = 0 <---------- quadratic equation
Now use the quadratic formula to solve for x
x = 66/6 or -78/6
x = 11 or -13
So the three numbers can be [11, 12 ,13] or [-13, -12, -11]
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