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womack13
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(x^2-4)(x+3)=0
A real solution is a value or set of values that satisfy an equation or inequality when substituted into the variable. In other words, a real solution is a value that makes the equation or inequality true.
To find all real solutions to an equation, you must isolate the variable on one side of the equation and use algebraic methods to solve for the variable. This may involve combining like terms, factoring, or using the quadratic formula. Once you have found the value(s) of the variable, you can check if they satisfy the equation by substituting them in and simplifying.
Yes, an equation can have more than one real solution. This typically occurs when the equation is a higher degree polynomial or has multiple variables. In these cases, there may be multiple values that satisfy the equation and are considered real solutions.
If an equation has no real solutions, it means that there are no values that can be substituted into the variable to make the equation true. This can happen if the equation leads to an imaginary number or if the equation is a contradiction (e.g. 2 = 3). You can check for real solutions by solving the equation and checking if any values are extraneous or lead to contradictions.
Yes, inequalities can have real solutions. Inequalities differ from equations in that they represent a range of values that satisfy the inequality. Therefore, there can be an infinite number of real solutions for an inequality. To find the real solutions, you can solve the inequality and graph the solution set on a number line.