Problemas
Solve the equation given by completing the square. 3x^2-12x-15=0 [Hint: Divide by 3 first] x=square
Roztwór
Norma
professionell · Tutor durante 6 años
4
(212 Votos)
Respuesta
To solve the equation
by completing the square, follow these steps:1. **Divide the entire equation by 3** to simplify the coefficients:
2. **Move the constant term to the other side** of the equation:
3. **Complete the square** on the left side. To do this, take half of the coefficient of
, square it, and add it to both sides of the equation. The coefficient of
is
, so half of it is
, and squaring it gives
:
4. **Take the square root of both sides**:
5. **Solve for
** by isolating it:
So, the solutions are:
Therefore, the solutions to the equation
are: