If you're looking to factor it, you can do it like so:
d2ydx2 - yx2
= d3yx2 - yx2
= yx2(d3 - 1)
X2 - Y2 = (X + Y)(X - Y)
7
If you mean y = x2, then yes, it is nonlinear.
(x+1)(x-1) ;)
There are several ways to solve x2-x-12. The easiest way, if you have a graphing calculator, is to put y = x2-x-12 and y = 0 into the graph and then solve for the intercepts. A way to do it without a graphing calculator is by factoring. x2-x-12 factors into (x-4) and (x+3). Then set (x-4) and (x+3) each equal to zero and solve. (x-4)=0 becomes x=4. (x+3)=0 becomes -3. Therefore, the answers are -3 and 4.
dy/dx= 2x therefore d2ydx2= 2 as this is positive we can tell that it is the minimum value in a curve
You cannot, in general, solve one equation with two unknown variables. x - y = x - x2 Subtract x from both sides: - y = - x2 Change signs: y = x2 And that is as far as you can go.
X2 - Y2 = (X + Y)(X - Y)
(2x)ysquared
x2 + 3y = 7 3x + y2 = 3 3y = x2 + 7 y2 = -3x + 3 y = x2/3 + 7/3 y = ± √(-3x + 3) If you draw the graphs of y = x2/3 + 7/3 and y = ± √(-3x + 3) in a graphing calculator, you will see that they don't intersect, so that the system of the given equations has not a solution.
Y = X2 Inverse. Y = 1/X2 ======
y = x2 - 3x - 20 is a formula linking two variables, x and y. It does not - indeed, it cannot - have a solution. The equation x2 - 3x - 20 = 0 has solutions at x = -3.217 and x = 6.217 approx.
What do you want to convert it to? x2 + y2 = 2x If you want to solve for y: x2 + y2 = 2x ∴ y2 = 2x - x2 ∴ y = (2x - x2)1/2 If you want to solve for x: x2 + y2 = 2x ∴ x2 - 2x = -y2 ∴ x2 - 2x + 1 = 1 - y2 ∴ (x - 1)2 = 1 - y2 ∴ x - 1 = ±(1 - y2)1/2 ∴ x = 1 ± (1 - y2)1/2
What are we solving here for, Z, X, or Y?If solve for Z then the answer would be z = x + yIf solve for X then the answer would be z = z - yIf solve for Y than the answer would y = z - xHope this help.
Th e two points are X1,Y1 and X2, Y2 slope, m, is y2-y1 divided by x2-x1 then standard form is y = mx +b plug in y2 for y and x2 for x and solve b or plug in y1 for y and x1 for x and solve b
x2 + x2 = 2x2. Don't be thrown by squares (or other powers). y + y = 2y. Just treat x2 like you treat y. But remember, you can only add together the same powers of x, you cannot add together x and x2 (or other powers of x).
Set y as zero; now you have -x2+3=0. Multiply equation by -1; now you have x2-3=0. Add both sides by 3; now you have x2=3. Take the square root of both sides, and finally you have the answer, which is x=±√3.