Posted by astrid on Wednesday, April 2, 2008 at 10:08pm.
yes, so solve
15^2 + x^2 = (2x+1)^2
I tried that but it didnt give me a quadratic equation and thats what we've been studying.
why did you not get a quadratic?
15^2 + x^2 = (2x+1)^2
225 + x^2 = 4x^2 + 4x + 1
3x^2 + 4x - 224 = 0
see?
since you are studying quadratics I will let you finish it. (hint: 8 is a nice number)
2(3y)2(2x)
? Just move all values to one side and leave the other side to zero and there's your quadratic formula.
Let x be the distance from the wall to the bottom of the ladder
Let 2x+1 be the length of the ladder
15^2 + x^2 = (2x+1)^2
4x^2 + 4x + 1 = 15^2 + x^2 I just expanded and switched the sides
3x^2 + 4x - 224 = 0
x^2 + 4x - 672 = 0 <-- bridge method is not in the NYC curriculum but I don't know about yours
(x+28)(x-24) = 0
(3x+28)(3x-24) = 0
(3x+28)(x-8) = 0
x = 8, -28/3(rej because its silly for the distance to be negative)
? Just move all values to one side and leave the other side to zero and there's your quadratic *correction* equation.
I get it now. I messed up on (2x+1)^2. I didn't simplify it right. Thank you guys so much.
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