Question

Determine whether the given values of x
are the roots of giren quadratic ean.
6x2 - x-2=0
x=-1/2
x=5
​

Answer 1

Answer:

Step-by-step explanation:

6x^2-x-2=0

6x^2-4x+3x-2=0

2x(3x-2)+1(3x-2)=0

(3x-2)(2x+1)=0

x=2/3,-1/2

Answer 2

$6 {x}^{2} - x - 2 = 0 \\ 6 {x}^{2} - 4x + 3x - 2 = 0 \\ 2x(3x - 2) + 1(3x - 2) = 0 \\ (2x + 1)(3x - 2) = 0$

2x+1=0 or 3x-2=0

2x=-1 or 3x=2

x=-1/2 or x=2/3

x= -1/2 or 2/3