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
Roztwór
Ana Paula
professionell · Tutor durante 6 años
4.5
(231 Votos)
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
.