Question

solve the equation 2x^2-5x+2=0 by using formula ​

Answer 1

Answer:

2xsq.-5x+2 by splitting the middle term

2xsq.-4x-x+2

2x(x-4)-1(x-2)

(2x-1)(x-2)

now,

2x-1=0. and x-1=o

x=1/2. and. x=1

Answer 2

Answer:

$x = 2 \: \: or \: \: \: x = \frac{1}{2}$

Step-by-step explanation:

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

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