Question

2x2-5x+2=0
How to find the zeros

Answer 1

Question given:

2x² - 5x +2 = 0

2x² -4x -x +2=0

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

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

then two zeros are:

x = 2

and

x = 1/2

Answer 2

Answer:

$\bf\ x = 2 \: and \: x = \frac{1}{2}$

Step-by-step explanation:

$\bf\red{ \mapsto: {2x}^{2} - 5x + 2 = 0} \\ \\ \bf\red{ \implies: {2x}^{2} - (4x + x) + 2 = 0} \\ \\ \bf\red{ \implies: {2x}^{2} - 4x - x + 2 = 0 } \\ \\ \bf\red{ \implies: 2x(x - 2 )- 1(x - 2) = 0 }\\ \\ \boxed{\red{ \implies: (2x - 1)(x - 2) = 0}} \\ \\ \bf\ 2x - 1 = 0 \\ \bf\red{ \implies: x = \frac{1}{2} } \\ \\ \bf\ x - 2 = 0 \\ \\ \bf\red{ \implies: x = 2 }$