The sweet spot for birdwatching and nature-spotting binoculars is 8x. This gives you a reasonably broad field of view (usually around seven to eight degrees) and a good level of magnification, and you’ll be able to hold them easily without getting too much distracting shake. Fogproofing: To prevent binoculars from fogging up when transitioning from the cold outdoors to the warm indoors, manufacturers fill their binoculars with an inert gas (usually argon or nitrogen) that has no water content and thus inhibits condensation. Wolfram|Alpha is a great tool for factoring, expanding or simplifying polynomials. It also multiplies, divides and finds the greatest common divisors of pairs of polynomials; determines values of polynomial roots; plots polynomials; finds partial fraction decompositions; and more. However, the binoculars themselves feel solidly made, they’re light and portable and offer screw-out eyecups – a lot more than you’d expect for the money. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask about factoring.

If we instead try a value that doesn't work, say x=3 (try 2x+3=7 @ 3), Algebra Calculator shows a red "not equals" sign instead. In fact, the field of view is so wide – on the 10×42 it’s 7.6-degrees and the same as older EL 8.5×42 – that you can step up in magnification without the usual pitfalls of doing so. We generally prefer 8x binoculars over 10x or 12x binoculars because, normally, they strike a better balance between magnification and field of view. These binoculars, however, give you the best of both worlds. The 8x NL Pure have an even wider field of view at a frankly unbelievable 9.1-degrees. A polynomial with rational coefficients can sometimes be written as a product of lower-degree polynomials that also have rational coefficients. In such cases, the polynomial is said to "factor over the rationals." Factoring is a useful way to find rational roots (which correspond to linear factors) and simple roots involving square roots of integers (which correspond to quadratic factors).

Polynomials with rational coefficients always have as many roots, in the complex plane, as their degree; however, these roots are often not rational numbers. In such cases, the polynomial will not factor into linear polynomials. They’re cheaper, too, than the Trailseekers and feel better made, with a smoother focus dial and longer 22mm eye relief, so they’re better for glasses wearers, although we’re not too keen on the cheap-feeling lens caps. Waterproofing: You’re going to be using your binoculars outside so it’s best to be sure that they won’t let in water if you’re caught in a rain shower. They’ll fog up and condensation will form on the inner surfaces if this happens.

After you enter the expression, Algebra Calculator will print a step-by-step explanation of how to solve 3x+2=14. Overall, at the price, the Pentax SD 8×42 WP is a great buy, and well worth the extra over the usual budget favourites. Normally we wouldn’t recommend using a pair of 12x magnification binoculars without a tripod but with stabilisation these work just fine, and are optically splendid. They present a sharp, bright image right out to the very edge of your field of view with neutral colour representation. Key specs – 10x magnification; 42mm objective lenses; 7.6° field of view; 18mm eye relief; adjustable cups; 2m close focusing distance; 850g Still, if the best-quality image is important to you, they’re fantastic for the money and represent a big step up from the cheaper Olympus 10×25 and RSPB Puffin 8×32 models below.My only complaint is that the focus adjust wheel is a little stiff and needs a fair bit of effort to shift. Oddly, the diopter adjustment wheel, which is handily located just behind it, is far easier to tweak. Proper fraction button and Improper fraction button work as pair. When you choose the one the other is switched off. These are roof prism binoculars, waterproof and although they don’t use extra low dispersion glass (ED) like the Nikons, the glass is fully multi-coated to reduce flare and glare. These are also fully waterproof to the extent that they can be submerged in up to 3m of water. Throw in a 30-year warranty and you have a pair of binoculars that are likely to last you a long time.

To evaluate an expression containing x, enter the expression you want to evaluate, followed by the @ sign and the value you want to plug in for x. British gunmakers BSA produced sporting versions of the Lee–Enfield military rifle, chambered in "8mm (.315")" from well before World War I until at least the 1930s. The British-founded "Rifle Factory Ishapore" continues to manufacture Lee–Enfield sporting rifles in this chambering. Close focus: Great for spotting insects and inspecting flowers from close range. The best binoculars let you focus from as close as 1.5m away.They’re exceptionally sharp across a wide 7.6° field of view and no discernible chromatic aberrations. They offer a touch more magnification than a regular 8x binocular, yet they’re not at all difficult to hold steady and close focus is superb: you can peer at subjects from 1.5m. Focusing is incredibly easy on the finger, too. The focus wheel is both light and smooth and super accurate. What’s more, you’re not just getting decent optics, but a solid, rubber-armoured build, smooth focusing and a comfortable, lightweight design. Sure, at 900g the Aculons weigh more than most equivalent Roof Prism binoculars, and they do get tiring over prolonged use, but compared to some budget 10 x 50s, they’re well-balanced and easy going. Nikon also bundles a case and a comfy padded strap.