This equation is in standard form a x 2 b x c = 0 Substitute 1 for a, − 2 x for b, and x 2 for c in the quadratic formula, 2 a − b ± b 2 − 4 a c y=\frac {\left (2x\right)±\sqrt {\left (2x\right)^ {2}4x^ {2}}} {2} y = 2 − ( − 2 x) ± ( − 2 x) 2 − 4 x 2 Square 2x Square − 2 xCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history · x^2 xy y^2 = 1 Find the largest value of y which satisfies the above equation and the corresponding value of x (x is real)
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X^2+y^2+z^2-xy-yz-zx formula
X^2+y^2+z^2-xy-yz-zx formula-Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorThe example below demonstrates how the Quadratic Formula is sometimes used to help in solving, and shows how involved your computations might get Solve the system x 2 – xy y 2 = 21 x 2 2xy – 8y 2 = 0 This system represents an ellipse and a set of straight lines
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· Using the simple formula ( x y )^2 = x^2 y^2 2*x*y I have proved that 2 = 4 Here is the proof 8 = 8 412 = 1624 (since 412= 8 & 16 –24 = 8) Now add 9 to both sides 4 – 12 9 = 16 – 24 9 2*2 2*2*3 3*3 = 4*4 – 2*4*3 3*3 2^2 2*2*3 3^2 = 4^2 – 2*4*3 3^2 this steplooks like the formula x2 y2 2*x*y = ( x y )2 ( 2 – 3 )^2 = ( 4 – 3 )^2 So 2 – 3= 4Cylindrical decomposition((x^2 x y y^2) 1> 0, {x, y}) tangent plane to (x^2 x y y^2) 1 at (x,y)=(1,2) SymmetricReduction((x^2 x y y^2) 1, {x^21, x}) (x^2 x y y^2) 1 > 0;X 2 d x − y 2 d x x d y 2 = 0 d x x d y 2 − y 2 d x x 2 = 0 d x d ( y 2 x) = 0 x y 2 x = C It seems to me that there is a sign mistake somewhere Share edited Nov 11 ' at 2301 answered Nov 11 ' at 2256 Aryadeva
Circle on a Graph Let us put a circle of radius 5 on a graph Now let's work out exactly where all the points are We make a rightangled triangle And then use Pythagoras x 2 y 2 = 5 2 There are an infinite number of those points, here are some examplesX^2 y^2 = x^2 2xy y^2 2xy = (x y)^2 2xy x^2 y^2 = x^2 2xy y^2 2xy = (x y)^2 2xy ∴ (i) x^2 y^2 = (x y)^2 2xy (ii) x^2 y^2 = (x y)^2 2xyThis is always true with real numbers, but not always for imaginary numbers We have ( x y) 2 = ( x y) ( x y) = x y x y = x x y y = x 2 × y 2 (xy)^2= (xy) (xy)=x {\color {#D61F06} {yx}} y=x {\color {#D61F06} {xy}}y=x^2 \times y^2\ _\square (xy)2 = (xy)(xy) = xyxy = xxyy = x2 ×y2 For noncommutative operators under some algebraic
Since y^2 = x − 2 is a relation (has more than 1 yvalue for each xvalue) and not a function (which has a maximum of 1 yvalue for each xvalue), we need to split it into 2 separate functions and graph them together So the first one will be y 1 = √ (x − 2) and the second one is y 2 = −√ (x − 2)For any fixed $y$, the solutions of $x^2xyy^2=0$ are $$x=\frac{y \pm\sqrt{3y^2}}{2}$$ If $y\ne 0$, the number under the square root sign is negative, and therefore $\sqrt{3y^2}$ is not a real number, so $x$ is not a real numberAdding fractions that have a common denominator 22 Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominator Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible x2 • x (y2) x3 y2
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Formula
· It can be factored as x^2 y^2 = (xy)(xy) Notice that when you multiply (xy) by (xy) then the terms in xy cancel out, leaving x^2y^2 (xy)(xy) = x^2xyyxy^2 = x^2xyxyy^2 = x^2y^2 In general, if you spot something in the form a^2b^2 then it can be factored as (ab)(ab) For example 9x^216y^2 = (3x)^2(4y)^2 = (3x4y)(3x4y)However, the figure resulting from removing six singular points is one Its name arises because it was discovered by Jakob Steiner when he was in Rome in 1844Start with $(x y)^2$, multiply out to get $x^2 y^2 xy yx$ and then collect like terms to get the normal form $x^2 2xy y^2$ "Multiplying out and collecting like terms" is a decision procedure for this kind of problem
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This formula is also referred to as the binomial formula or the binomial identity Using summation notation , it can be written as ( x y ) n = ∑ k = 0 n ( n k ) x n − k y k = ∑ k = 0 n ( n k ) x k y n − k {\displaystyle (xy)^{n}=\sum _{k=0}^{n}{n \choose k}x^{n · I'm not very good at implicit differentiation could someone please help me out I need to differentiate x^2xyy^2=3 using implicit differentiation if someone could explain the steps I would be very greatful · In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its meanIn other words, it measures how far a set of numbers is spread out from their average value Variance has a central role in statistics, where some ideas that use it include descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and
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Solve The Equation X 2 3xy Y 2 Dx X 2dy 0 Given That Y 0 And X 1
Show, by left side, that $$\frac{x^3y^3}{xy} = x^2xyy^2,$$ or $$\frac{x^3y^3}{x^2xyy^2} = xy$$ You may read about "Long Division of Polynomials" See also LINK for knowing the processXy=12, (x^2y^2)=25 then what is the value of (xy)2^2; · #(x^2y^22xy)(xy)=x^3x^2yxy^2y^32x^2y2xy^2# #rArr x^3y^33x^2y3xy^2# Always expand each term in the bracket by all the other terms in the other brackets, but never multiply two or more terms in the same bracket
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The Roman surface or Steiner surface is a selfintersecting mapping of the real projective plane into threedimensional space, with an unusually high degree of symmetryThis mapping is not an immersion of the projective plane;Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyThe Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function = over the entire real line Named after the German mathematician Carl Friedrich Gauss, the integral is = Abraham de Moivre originally discovered this type of integral in 1733, while Gauss published the precise integral in 1809 The integral has a wide range of applications
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