Question

Which method is the best method for solving the equation 8x² – 13x + 3 = 0?

A. square roots

B. factoring

C. graphing

D. quadratic formula

Answer 1

quadratic formula

Explanation:

Given :
`8x^2-13x + 3 = 0`

To Find: Which method is the best method for solving the equation

Solution:

`8x^2-13x + 3 = 0`

A: square roots - Since we have 3 terms .So, Square root option A is not suitable.

B: factoring: Since left side is not factorable .So, Option B is not suitable.

C: graphing : Since we must have the graph accurately .So, Option C is not suitable.

D: quadratic formula :
`x=(-b\pm√(b^2-4ac))/(2a)`

This formula is suitable to solve the given quadratic equation.

Hence Option D is the best method for solving the equation

Answer 2

Quadratic formula is the bestt
by applying it
8x^2-13x+3
x^2-13x/8+3/8=0
x^2-13x/8=3/8
x^2-13x/8+169/256
=73/256
(x-13/16)^2
=73/25
so correct option is D
hope it helps