x2 + 8x + 100
Let x2 + 8x + 100 = 0. Complete the square (the best choice).
x2 + 8x + 100 = 0 add 42 and subtract 100 to both sides
x2 + 8x + 42 = 16 - 100
(x + 4)2 = -84 Take the square root of both sides
x + 4 = ± √-84 subtract 4 to both sides and write 84 as 4*21
x = -4 ± 2(√21)i
Thus, x = -4 - 2(√21)i or x = -4 + 2(√21)i.
(4 ± i2) where i2 = -1
x2 + 8x + 5 = 0 is an expression, not a value, and thus does not actually have a square root. If you are looking to solve for x, then you can say: x2 + 8x + 5 = 0 ∴ x2 + 8x + 16 = 11 ∴ (x + 4)2 = 11 ∴ x + 4 = ±√11 ∴ x = 4 ±√11
x2-8x=0 ( add 8x to both sides) x2 =8x (divide by x) x=8 ( x2divided by x equals x)
2x+6x=-9 => 8x=-9=> x=-8/9
(x - 4)2 + (y - 0)2 = 102 or x2 - 8x + 16 + y2 = 100 or x2 - 8x + y2 - 84 = 0
x2 - 8x + 32 = 0 (assuming)you can factor or use the quadratic equation.I recommend the quadratic equation.
x - x2 - 9x + 14 = 0 ; whence, x2 + 8x = 14 , x2 + 8x + 16 = 30 , and x + 4 = ±√30 . Therefore, x = ±√30 - 4 .
x2 + 8x - 2 = 0 => x2 + 8x = 2 => x2 + 8x + 16 = 2 + 16 = 18 => (x + 4)2 = 18 => x + 4 = +or- sqrt(18) = +or- 3*sqrt(2) so x = -4 +or- 3*sqrt(2)
(4 ± i2) where i2 = -1
x2 - 8x - 40 = 0 ∴ x2 - 8x = 40 ∴ x2 - 8x + 16 = 56 ∴ (x - 4)2 = 56 ∴ x - 4 = ± 561/2 ∴ x = 4 ± 561/2 ∴ x = 4 ± 2 × 141/2 ∴ x ≈ {11.4833, -3.4833}
x2 + 8x + 5 = 0 is an expression, not a value, and thus does not actually have a square root. If you are looking to solve for x, then you can say: x2 + 8x + 5 = 0 ∴ x2 + 8x + 16 = 11 ∴ (x + 4)2 = 11 ∴ x + 4 = ±√11 ∴ x = 4 ±√11
X2 + 8x + 16 = 10x +16x2 + 8x + 16=2x + 8x + 16=10x + 16
x2-8x=0 ( add 8x to both sides) x2 =8x (divide by x) x=8 ( x2divided by x equals x)
2x+6x=-9 => 8x=-9=> x=-8/9
(x - 4)2 + (y - 0)2 = 102 or x2 - 8x + 16 + y2 = 100 or x2 - 8x + y2 - 84 = 0
If that's + 8x, the answer is 4(x2 + 2x - 6) If that's - 8x, the answer is 4(x2 - 2x - 6)
x2 - 8x = 1 ∴ x2 - 8x + 16 = 17 ∴ (x - 4)2 = 17 ∴ x - 4 = ±√17 ∴ x = 4 ± √17