For equation A, (x+4)(x-9)=0, use the Zero product property. For equation B, if it is 4x^2+20=0, then you would typically complete the square to solve for x and apply the square root property. The quadratic formula can also solve quadratic equations of the form ax^2 + bx + c = 0. Therefore, option 2 is correct
The technique most appropriate for solving each given equation is based on the form of the equation presented.
- For equation A, (x+4)(x-9)=0, the Zero product property is most suitable because if the product of two factors is zero, at least one of the factors must be zero.
- For equation B, 4x^2+20 - Square root property, it seems like there is a typo or missing information. Typically, the square root property is used when the equation is in the form x^2 = a, where you would take the square root of both sides to solve for x. However, completing the square might be used before applying the square root property if the equation is in a quadratic form but not set equal to zero.
Quadratic equations can also be solved using the quadratic formula. For an equation of the form ax^2 + bx + c = 0, this formula provides the exact solution for x.
the complete Question is given below:
which technique is most appropriate to use to solve each equation?
Drag the name of the technique into the box to match each equation
A. (x+4)(x-9)=0 - ______________
B. 4x^2+20 - Square root property
1. Complete the Square
2. Zero product property