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Consider the Equation: X^2+14x+24=0 A) First, Use the "completing the Square" Process , to Write This Equation in the Form (x+D)^2=E

Problemas

Consider the equation: x^2+14x+24=0 A) First, use the "completing the square" process , to write this equation in the form (x+D)^2=E and enter your results below. x^2+14x+24=0 is equivalent to: square = square Preview left side of eqn: B) Solve your equation and enter your answers below as a list of numbers , separated with a comma where necessary. Answer(s): square

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Respuesta

) To complete the square for the equation , we need to rewrite it in the form .First, let's isolate the terms on one side of the equation: Next, we need to add a constant term to both sides of the equation to complete the square. This constant term is given by , where is the coefficient of the term.In this case, , so .Adding 49 to both sides of the equation, we get: Now, we can rewrite the left side of the equation as a perfect square: So, the equation is equivalent to: B) To solve the equation , we need to take the square root of both sides: Solving for , we get: or or Therefore, the solutions to the equation are and .