Question

solve
$2x {}^{2} - 5x + 2 = 0$
by formula method ​

Answer 1

Answer:

−2x

2

+5x−2=0

2x

2

−5x+2=0

2x

2

−4x−x+2=0

2x(x−2)−1(x−2)=0

(x−2)(2x−1)=0

x=2,

2

1

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Answer 2

Answer:

$2 {x}^{2} - 5x + 2 = 0 \\ > 2 {x}^{2} - 4x - x + 2 = 0 \\ > 2x(x - 2) - 1(x - 2) = 0 \\ > (x - 2)(2x - 1) = 0 \\ so \: (x - 2) = 0 \: \: or \: (2x - 1) = 0 \\ > x = 0 - 2 \: \: \: \: \: \: \: \: \: \: \: \: > x = \frac{0 + 1}{2} \\ > x = - 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: > x = \frac{1}{2}$

x= -2,1/2.

Hope it helps