Match each quadratic equation with the best way to solve it. 1. 5x2 + 12x - 3 = 0 solve by square root method 2. x2 - 4x = 8 solve by quadratic formula 3. 4x2 - 25 = 0 solve by completing the square 4. x2 - 5x + 6 = 0 solve by factoring

Respuesta :

Answer:

1) 5x2 + 12x - 3 = 0 -----> solve by quadratic formula

2) 4x2 - 25 = 0 -----------> solve by square root method

3) x2 - 5x + 6 = 0 --------> solve by factoring

4) x2 - 4x = 8 -------------> solve by completing the square

Step-by-step explanation:

Matching each of the given quadratic equations with the best way to solve it is as follows;

  • 5x2 + 12x - 3 = 0 => solve by quadratic formula
  • 4x2 - 25 = 0 => solve by square root method
  • x2 - 5x + 6 = 0 => solve by factoring
  • x2 - 4x = 8 => solve by completing the square

Solving quadratic equations

The given quadratic equations can be solved by different methods;

  • For 5x2 + 12x - 3; The factors cannot be deciphered from a glance, hence the quadratic formula is used

  • For 4x2 - 25 = 0; The equation can be solved by using the Square roots after 25 is moved to the other side of the equation.

  • For x2 - 5x + 6 = 0 =>The factors are -3 and -2 and the equation can be solved by factoring

  • For x2 - 4x = 8 => The left hand side of the equation can be rewritten by completing the square technique and hence, solved by completing the square.

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