x2 - 64 is a type of expression called a "Difference of squares". That would be any binomial that is a perfect square subtracted from another perfect square.
Any binomial in that format can be factored out to two binomials multiplied by each other. If it's in the format a2 - b2, then it can also be expressed as (a + b)(a - b).
In this case then, it would come out as:
(x + 8)(x - 8)
12
10x2 - 64 = 36 + 6x2; whence, 4x2 - 100 = 0, x2 = 25, and x = ±5.
10x2 - 64 = 36 + 6x2 Combine like terms: 4x2 = 100 Divide both sides by 4: x2 = 25 Take square roots: x = -5 or +5
The inner circle is x2 + y2 = 4. The radius of the inner circle is the square root of 4, which is 2. To find the radius of the outer circle, multiply 2 times 4. The radius of the outer circle is 8. Square 8 (82 or 8 x 8) to find the number to put into the equation of the outer circle. This is 64. The equation for the outer circle is x2 + y2 = 64.
Restate the question: What is the shape of the function y = 16x - x2?Since the function highest power is a square, this is a quadratic function, and the graph is a parabola. Maybe that's all you wanted to know, but here's the rest of the story:Since the coefficient of x is negative (it's -1), the parabola opens down (the shape is an upside down 'u').The x-intercepts are found by factoring and solving: 16x-x2 = 0 -> x(16-x) = 0 -> x=0 or [16-x=0 -> 16=x]. The graph crosses the x-axis at 0 and 16.The top of the parabola will be where x=8 (half-way between the intercepts). Substitute in y = 16x - x2 = 16(8) - (8)2 = 128 - 64 = 64.The graph passes through (0,0), (8, 64), and (16,0).
x2≤64
x2-64 = (x-8)(x+8)
(x-8)(x+8) = x2-64
x2-64 = (x-8)(x+8) when factored
Also 64
x2 = 6482 = 64x = 8
The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.
64 + x2 = 196 Therefore, 196 - x2 = 64 x2 = 132 Therefore, x = sqrt(132). Rounded to three decimal places, this is equal to 11.489.
x2 + 48x + 320
X = 8 x2 (8)2 = 64 ====
x2 - 64 can be written as x2 - 82, which is of the form of a2 - b2.And a2 - b2 is factored as (a-b)(a+b).Therefore, x2 - 64 is factored as (x+8)(x-8).
64. because every letter is replaced with the number of the position in the alphaeth, and then doubled. A=1 x2= B=2 x2= D=4 x2= H=8 x2= P=16 x2= 16 x2= 32 x2= 64