Equations have solutions. I'll assume that's x^2 - 4x + 41 = 0 since this website can't reproduce plus or equals signs in questions. That doesn't factor neatly. Using the quadratic formula, we find two imaginary solutions: 2 plus or minus i times the square root of 37
x = 8.082762530298219i
x = -4.082762530298219i
where i is the imaginary square root of -1
no its is x^2-4x=41
4x-x2 = 2
6
How do you solve y=-4x+1
X2 + 4xx(x + 4)=======
the three numbers are: x - 2, x, x+2 the sum of their squares: (x-2)2+ x2 + (x+2)2 = x2 - 4x + 4 + x2 + x2 + 4x + 4 = 3x2 + 8 = n*1111 n= 1,2,3 ... 9 x= sqrt((n*1111 - 8)/3) n = 5, so x = 43 or -43 and the numbers are: -45, -43, -41 or 41, 43, 45
x2 - 4x - 9 = 0 ∴ x2 - 4x = 9 ∴ x2 - 4x + 4 = 13 ∴ (x - 2)2 = 13 ∴ x - 2 = ±√13 ∴ x = 2 ± √13
X(X2 - X)
4x = 72.divide both sides by 4x = 18
x2 + 4x = 1 x2 + 4x - 1 = 0 in the quadratic formula (b2+- Sqr(4ac))/2a, a = 1 b = 4 c = -1 so x = 8 +- i
x2-10 = 4x+11 x2-4x-10-11 = 0 x2-4x-21 = 0 (x+3)(x-7) = 0 x = -3 and x = 7
x2 + 4x + 3 = 0 (x + 1)(x + 3) = 0 x ∈ {-3, -1}
4x-x2 = 2
Assuming that by expressing that equation as a question you're looking to solve for x: x2 - 4x - 29 = -10 x2 - 4x + 4 = 23 (x - 2)2 = 23 x - 2 = ± √23 x = 2 ± √23
Given: x2 + 10x - 16 Let: x2 + 10x - 16 = 0 x2 + 10x - 16 = 0 ∴ x2 + 10x + 25 = 16 + 25 ∴ (x + 5)2 = 41 ∴ x = -5 ± √41 ∴ x2 + 10x - 16 = (x + 5 + √41)(x + 5 - √41)
It can be anything from 41/4 to infinite.
Assuming that by writing that equation as a question, you mean to ask how to solve it for x, that can be done as follows: x2 + 4x - 6 = 0 x2 + 4x + 4 = 10 (x + 2)2 = 10 x + 2 = √20 x = -2 ± √20
Limx→0 [ 1 / (x - 4) + 1 / (x + 4) ] / x = Limx→0 1 / (x2 - 4x) + 1 / (x2 + 4x) = Limx→0 (x2 + 4x) / (x4 - 16x2) + (x2 - 4x) / (x4 - 16x2) = Limx→0 (x2 + 4x - 4x + x2) / (x4 - 16x2) = Limx→0 2x2 / (x4 - 16x2) = Limx→0 2 / (x2 - 16) = 2 / (0 - 16) = -1/8