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What is x2 -64?

Updated: 4/28/2022
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11y ago

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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)

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Find the factorization for the polynomial x2-16x 64?

12


What are the x solutions for the equation 10x2 - 64 equals 36 plus 6x2?

10x2 - 64 = 36 + 6x2; whence, 4x2 - 100 = 0, x2 = 25, and x = ±5.


What are the solutions for 10x2-64 equals 36 plus 6x2?

10x2 - 64 = 36 + 6x2 Combine like terms: 4x2 = 100 Divide both sides by 4: x2 = 25 Take square roots: x = -5 or +5


The equation of the inner circle is x2 plus y2 equals 4 the radius of the outer circle is four times the radius of the inner circle write the equation of the outer circle?

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.


What is the shape of the function y 16x x2?

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).

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