0
x2 + (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
Add your answer:
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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))
1 plus x plus x2 plus x3 plus x4 plus plus x24 equals 49x25?
No.
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
X4 plus x2 equals 1?
4X + 2x = 1. Where x = 0.166666666666666666666666666666666666666 recurring.
What is x squared multiplied by x squared?
(X2) (X2) = X4 x squared multiplied by x squared is x raised to the 4th power.
If c equals x2 then what is Cx2?
if c = x2 then cx2 = x4
X plus 4 x plus 2 simplfied?
x4 +x2 =x2 (x2+1)
How do you factor the expression x to the fifth plus x to the fourth plus x cubed plus x squared plus x?
x(x4+x3+x2+x+1)
How do you express x4 plus y4 if given x plus y equals a xy equals b?
(x + y)2 = x2 + 2xy + y2 So x2 + y2 = (x + y)2 - 2xy = a2 - 2b Then (x2 + y2)2 = x4 + 2x2y2 + y4 So x4 + y4 = (x2 + y2)2 - 2x2y2 = (a2 - 2b)2 - 2b2 = a4 - 4a2b + 4b2 - 2b2 = a4 - 4a2b + 2b2
What is X squared times x squared?
x2*x2...You would add the two exponents like this x(2+2), making it x4.
-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)
X4-2x3 plus 2x2 plus x plus 4 divided by x2 plus x plus 1 solutions?
(x4 - 2x3 + 2x2 + x + 4) / (x2 + x + 1)You can work this out using long division:x2 - 3x + 4___________________________x2 + x + 1 ) x4 - 2x3 + 2x2 + x + 4x4 + x3 + x2-3x3 + x2 + x-3x3 - 3x2 - 3x4x2 + 4x + 44x2 + 4x + 40R∴ x4 - 2x3 + 2x2 + x + 4 = (x2 + x + 1)(x2 - 3x + 4)
