Question

Which technique is most appropriate to use to solve each equation? Drag the name of the technique into the box to match each equation. (x+3)(x+2)=0 ; x² + 6 = 31
1.) zero product property

2.) square root property

3.) quadratic formula

Answer 1

Answer:

(x+3)(x+2)=0-----zero product property

x² + 6 = 31 =-----quadratic formula

Step-by-step explanation:

THe zero product property you take an equation that is product of the multiplication of two binomials and by factorizing it you take both factors and equalize it to 0 in order to find the value of both values for x.

The quadratic formula is a formula used to solve quadratic equations that can´t be determined by the square root property or the zero product. You just use the numerical terms of the the formula:

$Ax^{2} +Bx+C=0$

And the formula is:

x=$x=\frac{-B+\sqrt{B^{2}-4AC } }{2A}$

And you just put the values of the quadratic function into the formula.

Answer 2

(x + 3) (x + 2) = 0
 To solve it, the most appropriate technique is:
 1.) zero product property
 The solutions are:
 (x + 3) = 0
 x = -3
 (x + 2) = 0
 x = -2
 
 x² + 6 = 31
 To solve it, the most appropriate technique is:
 2.) square root property
 x² = 31-6
 x² = 25
 x = +/- root (25)
 x = +/- 5
 The solutions are:
 x = 5
 x = -5