-- Pick a number out of a hat or a telephone book, or ask the person
standing next to you to give you a number.
-- Assign that number to one of the variables.
-- Solve the equation for the other variable.
-- This gives you one "ordered pair" solution of the equation.
-- Repeat, as many times as you want. You will never run out of solutions,
and you will never find all of them, as there are an infinite number of them.
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You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.
to find the unknown variables
You don't use unknown variables to solve an equation. The purpose of solving an equation is to find the value of the variable so that it's no longer unknown.
If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.