two real
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Take the derivative of the function and set it equal to zero. The solution(s) are your critical points.
You cannot have a simultaneous equation: you must have 2 or more equations for there to be any simultaneity.The simplest method to solve them is to invert the matrix of coefficients but this requires you to know matrix algebra and the question suggests tha you are not that advanced.In that case, express any one of the variables in terms of the other two. Substitute the resulting expression in the other equation(s). Repeat until you have only one variable. Find its value and substitute in the previous equation. That will then enable you to find a second variable. And so on.
It is a continuous line whose shape depends upon what expression it is meant to represent.The equation y = x would be a straight line passing through (0,0) and all the other points where the x and y co-ordinates were equal, including negative ones such as (-11,-11).But if the equation has x squared in it the shape would be a parabola, while the graph of an equation with y cubed in it would have something like an S shape in it. More complex equations could produce many differently shaped lines.
2mn - 2mt + 2sn - 2st = 0Divide both sides of the equation by 2:mn - mt + sn - st = 0m (n - t) +s (n - t) = 0(m + s) (n - t) = 0That's as far as you can go with the information given.
If the discriminant of a quadratic equation equals zero, it indicates that the equation has exactly one real solution, also known as a repeated or double root. This occurs because the quadratic touches the x-axis at a single point, rather than crossing it. Mathematically, this means that the two roots are the same, resulting in one unique solution for the equation.
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
The solution to an equation consists of the value (or values) of all the variables such that the equation is true when the variable(s) take those values.
The equation for the reaction between iron and lead chloride solution is: Fe(s) + 2PbCl2(aq) → 2Pb(s) + FeCl2(aq)
One solution means there is only one value or set of values for the variable(s) that satisfies the equation or system of equations. It is the point at which the graph of the equation intersects the x-axis, solving for the variable(s) in the equation.
7-4-14
The chemical equation for the reaction that occurs when zinc metal is added to a solution of copper II chloride is: Zn + CuCl2 -> Cu + ZnCl2.
The balanced equation for silver wire (Ag) placed in a cadmium nitrate solution would be: Ag(s) + Cd(NO3)2(aq) → AgNO3(aq) + Cd(s)
NaCl(aq) + AgNO3(aq) --> NaNO3(aq) + AgCl(s) This is an example of a double replacement/displacement reaction.
Na2SO4 +CaCl2---------------> 2NaCL +CaSo4
The balanced chemical equation for the decomposition of solid sodium sulfide (Na2S) in aqueous solution is: 2Na2S(s) -> 2NaOH(aq) + H2S(g)
b2 - 4ac (whatever that 4's sign is it is positive when squared ) (4)2 - 4(2)(- 9) 16 + 72 = 88 ===============Two real roots.