resultant of two vector is (c^2)=(a^2)+(b^2)-2abcos(c) or (c^2)=(a^2)+(b^2)+2abcos(c)?
402319
ya it is a^2 +b ^2 +2abcos(c)
766536
(x^4-y^4)\n=(x^2+y^2)(x^2-y^2)\n=(x^2+y^2)(x+y)(x-y)\n\n2.(x^4-1)\n=(x^2+1)(x^2-1)\n=(x^2+1)(x+1)(x-1)
120356
c^2 = underroot (a^2 + b^2)
606740
c^2 = a^2 + b^2, where c = hypot\nc^2 = 45^2 + 74^2\nc = 86.6 or sqrt(7501)
670824
There are 2 ways to solve for this \n\n1. Separating the x^2\n\n2. Quadratic Formula\n   ax^2 + bx + c = 0\n x = (-b + or - sqrt(b^2 - 4ac))/2a\n http://www.1728.com/quadrtc.gif\n\n\nSolving it by separating x^2\n\na. First separate x^2\n(x + ?)(x +?)\n\nb. Now we have to figure out the 2 variables that would give us 4x and -12 when we multiply them out. notice, that 4 is positive so the larger number has to be Positive.\n\n-12 = 12 * -1   12x + -1x = 11x\n-12 = 6 * -2    6x + -2x = 4x\n-12 = 4 * -3    4x + -3x = x\n\ntherefore the 2 variables would be 6 and -2\n\n(x + 6)(x - 2) = 0\nSo x, would be either -6, or 2\n---------------------------------------------  \n2. SOLVING USING THE QUADRATIC FORMULA\nThis one is way easier\n\nax^2 + bx + c = 0\nx^2 + 4x - 12 = 0\n\n x = (-b + or - sqrt(b^2 - 4ac))/2a\n x = (-4 + or - sqrt(4^2 - 4*1*-12))/2*1\n\n x = (-4 + or - 8)/2\n x = (-4 + 8)/2 = 2\n\n x - (-4 - 8)/2 = -6
988729
(a + b)^2 = a^2 + 2ab + b^2\n\nso\n\n(a + 1)^2 = a^2 + 2a + 1\n(a - 1)^2 = a^2 - 2a + 1\n\n\n\nFermat:\n\nIf a = 2^(n-1) then\n(a + 1)^2 = (2^(n-1) + 1)^2\n = (2^(n-1))^2 + 2(2^(n-1)) + 1\n =( 2^(n-1)^2 ) + (2^n + 1)\n\n\n\nMersenne:\n\n(2^n - 1) + (2^(n-1) - 1)^2 =\n = 2^n - 1 + (2^(n-1))^2 - 2(2^(n-1)) + 1)\n = 2^n - 1 + (2^(n-1))^2 - 2^n + 1\n = (2^(n-1))^2\n = ( (2^(n-1) - 1) + 1 )^2
697247
C = (W^2*L^2) / (24T^2)\nC(24T^2) = W^2*L^2\n[C(24T^2)]/L^2 = W^2\nAnswer:\nW = sq.rt {[C(24T^2)]/L^2}
945218
[(x^2)^2]^2\n\n(x^2 -4x +4)^2\n\nmultiply      x^2  (x^2 -4x +4)^  = x^4 -4x^3 +4x^2\n\nmultiply     -4x (x^2 -4x +4)^    = -4x^3 +16x^2 -16x\n\nmultiply     4  (x^2 -4x +4)^      =  4x^2 -16x +16\n__________________________________________\n\nthe answer should be                 x^4 -8x^3 +24x^2 -32x +16\n\ni hope that helped
692175
( x^2 -x +2 )( x^2 + x + 2 )\n\n=>\n a= -1\n b= +2\n c= +1\n d= +2
162589
x^2 + y^2 = z^2\n\ni don't feel like fiddling with my calculator right now.
965936
use pythagorean theorem.\n\na^2 + b^2 = c^2\n\npluggin in\n\na^2 + 4^2 = 11^2\n\na^2 + 16 = 121\n\nSolve for a\n\na^2 = 105\n\na = sqrt(105)\n\na = 10.247
605867
(x^2)/2 - 3(x^(3/2))/(3/2) + c = (x^2)/2 - 2x^(3/2) + c
896553
4x^2+8x-x-2\n(4x-1)(x+2)
340490
(ax^2 + bx + c)(dx^2 + ex + f)\n=ax^2(dx^2 + ex + f) + bx(dx^2 + ex + f) + c(dx^2 + ex + f)\n=adx^4 + aex^3 + afx^2 + bdx^3 + bex^2 + bfx + cdx^2 + cex + f\n=adx^4 + (ae + bd)x^3 + (af + be + cd)x^2 + (bf + ce)x + f
543300
Use the quadratic formula. a^2 + b^2 = c^2. 65^2 + 75^2 = c^2. You get 99.247166206396039345852328631456.
854360
S=(c-b)/(b-a)\nSb-Sa-c+b=0\nc=Sb-Sa+b\nc=S(b-a)+b\nHowever you like it.
572161
a^2 + b^2 = c^2\n8^2 + 6^2 = c^2\n64 + 36 = c^2\n100 = c^2\nc = 10\n\nThis only work when you have a right triangle.