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Rafax2 + (x-2)2 = (x-4)2
Eliminate parentheses:
x2 + x2 - 4x + 4 = x2 - 8x + 16
Collect terms on the left side:
2x2 - 4x + 4 = x2 - 8x + 16
Subtract x2 from each side:
x2 - 4x + 4 = -8x + 16
Add 8x to each side:
x2 + 4x + 4 = 16
Subtract 16 from each side:
x2 + 4x - 12 = 0
Factor the left side:
(x - 2) (x + 6) = 0
from which:
x = 2
x = -6
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What is x squared minus10 over x squared minus 4 plus 3x over x squared minus 4?
For any x ≠ 0, x2 -10/x2 - 4 +3x/x2 - 4 LCD = x2, multiply each term by their missing element of LCD = (x4 + 10 +3x - 8x2)/x = (x4 - 8x2 + 3x + 10)/x2
X plus 4 x plus 2 simplfied?
x4 +x2 =x2 (x2+1)
-6x3 plus 4x7-0.8x2 plus x4-5x5?
-6x3 + 4x7 - 0.8x2 + x4 - 5x5 = 4x7 - 5x5 + x4 - 6x3 - 0.8x2 = x2 (4x5 - 5x3 + x2 - 6x - 0.8)
Sum of series 1 plus x2 plus x4.....plus xn?
(xn+2-1)/(x2-1)ExplanationLet Y=1+x2+x4+...+xn. Now notice that:Y=1+x2+x4+...+xn=x2(1+x2+x4+...+xn-2)+1Y+xn+2=x2(1+x2+x4+...+xn-2+xn)+1Y+xn+2=x2*Y+1Y+xn+2-x2*Y=1Y-x2*Y=1-xn+2Y(1-x2)=1-xn+2Y=(1-xn+2)/(1-x2)=(xn+2-1)/(x2-1)
X4 plus 8x2 plus 4 - what are the factors?
(x2 + 4 - 2sqrt(3)) (x2 + 4 + 2sqrt(3))
