Find the length x.  Express your answer in simplified radical form.?
963860
where is the right angle in the triangle.  Between the right and bottom, between the bottom and left?  Without knowing this, we can't tell you the answer.\n\nBUT\nin a right triangle\nhypotenuse squared = side 1 squared + side 2 squared
968872
Let the shorter leg be 'x'\nLonger leg = 'x + 1'\nHypotenuse = 'x + 2'\nx^2 + (x + 1)^2 = (x + 2)^2\nx^2 + x^2 + 2x + 1 = x^2 + 4x + 4\n2x^2 + 2x + 1 = x^2 + 4x + 4\nx^2 + 2x + 1 = 4x + 4\nx^2 -2x - 3 = 0\nx^2 + x - 3x - 3 = 0\nx(x + 1) -3(x + 1) = 0\n(x - 3)(x + 1) = 0\nEither x - 3 or x + 1 = 0\nIf x + 1 = 0, x = -1 which cannot be true for the triangle\nIf x - 3 = 0, x = 3\nTherefore, the sides are:\nShorter leg = 3cm\nLonger leg = 3 + 1 = 4cm\nHypotenuse = 3 + 2 = 5cm
848127
When you added x to the right side, you should have gotten:\n\n4 = x^2\n\nThen take the square root of both sides to get\n\nx = 2, -2
412542
x = -b +(or)- sqrt(b^2 - 4ac)\n    -------------------------\n               2a
811567
do u mean angle or side? for side length you use the pithagorean theorem... a^2+b^2=c^2 ... yopu hace c, c=16, and a, a=9\nso ... 9^2+b^2=16^2......   b^2=16^2-9^2===175\nb= square root of 175 =13.2\nI
894026
Let the shorter leg have length x.\n\nThe longer leg has length x + 2.\n\nThe hypotenuse has length x + 4.\n\nUse the Pythagorean Theorem:\n\nx^2 + (x + 2)^2 = (x + 4)^2\n\nx^2 + x^2 + 4x + 4 = x^2 + 8x + 16\n\n2x^2 + 4x + 4 = x^2 + 8x + 16\n\nx^2 - 4x - 12 = 0\n\n(x - 6)(x + 2) = 0\n\nx = 6 or x = -2\n\nA length cannot be negative, so the shorter leg has length 6 cm.\n\nThe longer leg has length 8 cm.\n\nThe hypotenuse has length 10 cm.\n\n(This is a common Pythagorean triple, by the way, so you could have found the answer like that. :D )
703752
simply subtract 7 from both sides. This leave you with\n\nx<_3
624334
Example: Find the length of a helix which winds three times around a cylinder of height 12" and radius 3"\n\nAnswer: divide the cylinder into three sections. The helix goes once around a cylinder of height 4" and radius 3"\n\nThe surface of the cylinder can be "peeled" into a rectangle 4" by 2 * pi * 3" = 18.850". The helix is a diagonal of that rectangle. So its length is sqt(4^2 + 18.850^2) = 19.27"\n\nIt goes around the cylinder three times and its total length is therefore 57.81"
670503
The answer is x2+2x-4 with a remainder of 11/(x+1)
919015
(8X^6/7) * (56/24)\n8X^6/3\n\n(Hint:  X^m/X^n = X^(m-n)
157812
[x^2/4][2(log(x) - 1) log(x) + 1]
51216
x = [-(-4) +/- root((-4)^2 - 4x1x(-5))]/2x1\n  = (4 +/- 6)/2\n  = 5 or -1
204269
isolate one of the radicals, then square both sides.\nhere you get 2x+3=5x-6.......3x=9.......x=3\n\nworst case is sqrt(something) + something = sqrt(something)\n\nhere you'd isolate a radical, square both sides, clean up the equation, isolate the remaining radical, square both sides, and finish.  AND CHECK YOUR ANSWERS.  when you square both sides, "extraneous" solutions sneak in that might have you, back in the original equation, taking the square root of something negative.\n\nexample:  sqrt(3x+3) + 1 = sqrt(5x+6)\n....... (3x+3)+2*sqrt(3x+3)+1=(5x+6) ..... left side is a binomial\n.........2*sqrt(3x+3) = 2x+2\n...........sqrt(3x+3) = x+1\n...............(3x+3) = x^2+2x+1 ....... right side is a binomial\n....................0 = x^2-x-2 ......... and it factors!\n....................0 = (x-2)(x+1)\n....................0 = (x-2) so x=2\nor .................0 = (x+1) so x=-1\n\nnow check: sqrt(3*2+3)+1 =? sqrt(5*2+6)\n.............sqrt(9) + 1 =? sqrt(16)\n...................3 + 1 = 4.............yes.\n\n..........sqrt(3*-1+3)+1 = sqrt(5*-1+6)\n...............sqrt(0)+1 = sqrt(1)\n.......................1 = 1 ............yes\n\nsigh.  when I wrote it the equal signs lined up.
12044
By using the FOIL method, the final answer will be \n\n3x squared - x - 4
239767
2(2x)+2x = 72\n4x+2x = 72\n6x = 72\nx = 72/6\nx = 12\n\nSo the length is 24, an the width is 12.
618071
simplify to f(x)=(sqrt(x-2)(x-3))/(x-4)(x+5)\nthen sub in 1/x\nto get (sqrt(1/x -2)(1/x -3))/(1/x -4)(1/x +5)
1110742
12 simply place the 1 where the x is\n\n(1+3)(1+2)\n4*3\n12