To find an equation where two numbers are solutions of x, do the following: x=-3 , x=4 x+3=0 , x-4=0 Multiply them together and set equal to zero, i.e.
(x+3)(x-4) = x2-x-12 = 0
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(3z-2)^2=4
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
Equations can have many solutions. The equation of a straight line, for example, defines all points on the line. Even a simple equation such as x+y=5 can have a variety of solutions (x=1 when y=4, x=2 when y=3 and so on)
The number of solutions an equation has depends on the nature of the equation. A linear equation typically has one solution, a quadratic equation can have two solutions, and a cubic equation can have three solutions. However, equations can also have no solution or an infinite number of solutions depending on the specific values and relationships within the equation. It is important to analyze the equation and its characteristics to determine the number of solutions accurately.
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