Question

find the quadratic equation
{x-5} 2x=1=x{x=3}

Answer 1

$\purple{\mathfrak{\underline{\huge{Answer}}}:} \\ (x - 5)2x = 1 = x(x - 3) \\ \blue{\mathfrak{\underline{\large{Take \: first \: pair}}}:} \\ (x-5)2x=1 \\ 2 {x}^{2} - 10x = 1 - (i) \\\blue{\mathfrak{\underline{\large{Take \: second\: pair}}}:} \\ 1= x(x - 3) \\ 1 = {x }^{2} - 3x - (ii) \\ \blue{\mathfrak{\underline{\large{Comparing \: equation \: (i) \: and \: (ii)}}}:} \\ 2 {x}^{2} - 10x = {x}^{2} - 3x \\ 2 {x}^{2} - {x}^{2} = 10x - 3x \\ {x}^{2} = 7x \\ x = 7 \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$