Question

Solve by formulae method (steps are required) :-
x²-3x+2=0

Answer 1

Answer:

✌️Hope it helps ✌️

it helps ✌️✨Please Mark As Brainliest ✨

$\fcolorbox{black}{green}{Given } </p><p>Given$

x

x 2

x 2 −3x+2=0

x 2 −3x+2=0x

x 2 −3x+2=0x 2

x 2 −3x+2=0x 2 −2x−1x+2=0 (Resolving the expression)

x 2 −3x+2=0x 2 −2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)

x 2 −3x+2=0x 2 −2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)(x−2)(x−1)=0 (Taking common factors)

x 2 −3x+2=0x 2 −2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)(x−2)(x−1)=0 (Taking common factors)∴x−2=0 or x−1=0 (Equating each factor to zero)

x 2 −3x+2=0x 2 −2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)(x−2)(x−1)=0 (Taking common factors)∴x−2=0 or x−1=0 (Equating each factor to zero)∴x=2 or x=1

x 2 −3x+2=0x 2 −2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)(x−2)(x−1)=0 (Taking common factors)∴x−2=0 or x−1=0 (Equating each factor to zero)∴x=2 or x=1∴2 and 1 are the roots of x

x 2 −3x+2=0x 2 −2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)(x−2)(x−1)=0 (Taking common factors)∴x−2=0 or x−1=0 (Equating each factor to zero)∴x=2 or x=1∴2 and 1 are the roots of x 2

x 2 −3x+2=0x 2 −2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)(x−2)(x−1)=0 (Taking common factors)∴x−2=0 or x−1=0 (Equating each factor to zero)∴x=2 or x=1∴2 and 1 are the roots of x 2 −3x+2=0

Answer 2

$\star\underline{\mathtt\orange{⫷❥Q᭄} \mathfrak\blue{u~ }\mathfrak\blue{Σ} \mathbb\purple{ §}\mathtt\orange{T} \mathbb?\pink{iOn⫸}}\star\:$

Solve by formulae method (steps are required) :-

x²-3x+2=0

${ \color{aqua}{ \underbrace{ \underline{ \color{lime}{ \mathbb{✯꧁ ⋆᭄ SoLuTiOn⋆᭄꧂✯ }}}}}}$

${x}^{2} - 3x + 2 = 0$

$a = 1 \\ b = - 3 \\ c = 2$

$formula \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a}$

$substitute \: the \: values$

$x = \frac{ - ( - 3)± \sqrt{ { - 3}^{2} - 4(1)(2)} }{2(1)}$

$x = \frac{3± \sqrt{9 - 8} }{2}$

$x = \frac{3± \sqrt{1} }{2}$

$x = \frac{3±1}{2}$

$x = \frac{3 + 1}{2} \: \: or \: \: x = \frac{3 - 1}{2}$

$x = \frac{4}{2} \: \: or \: \: x = \frac{2}{2}$

$x = 2 \: \: or \: \: x = 1$

$\blue{\boxed{\blue{ \bold{\fcolorbox{red}{black}{\green{☺︎︎Hope\:It\:Helps☺︎︎}}}}}}$

${\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5069}}}}}}}}}}}}}}}$