Question

What is the solution of the quadratic equation 2x²-7x+6=0 *

1 point

2,2/3

-2,3/2

-3/2,2

3/2,2

​

Answer 1

Step-by-step explanation:

$\qquad\qquad\sf {:}\longrightarrow 2x^2-7x+6=0$

$\qquad\qquad\sf {:}\longrightarrow 2x^2-7x=-6$

$\qquad\qquad\sf {:}\longrightarrow 8 (2x^2-7x)=8 (-6)$

$\qquad\qquad\sf {:}\longrightarrow 16x^2-56x=-42$

$\qquad\qquad\sf {:}\longrightarrow 4x^2-2.4x.7=-42$

$\qquad\qquad\sf {:}\longrightarrow 4x^2-2.4x.7+7^2=7^2-42$

$\qquad\qquad\sf {:}\longrightarrow (4x-7)^2=49-42=6$

$\qquad\qquad\sf {:}\longrightarrow x=2,2/3$

Answer 2

Answer:

3/2 , 2

3/2 , 2

( 2x - 3 ) ( x - 2 )

Step-by-step explanation:

( 2x - 3 ) ( x - 2 )