Question

solve the formula method x square - 4 x + 2 is equal to zero ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore x=2\pm\sqrt{2}}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies x \in ( {x}^{2} - 4x + 2 = 0) \\ \\ \underline \bold{To \: Find: } \\ \implies x = ?$

• According to given question :

$\bold{Using \: Quadratic \: formula : } \\ \implies D = {b}^{2} - 4ac \\ \\ \implies D = { (- 4)}^{2} - 4 \times 1 \times + 2 \\ \\ \implies D = 16 - 8 \\ \\ \bold{\implies D = 8} \\ \\ \implies x = \frac{ - b \pm \sqrt{D} }{2a} \\ \\ \implies x = \frac{ - ( - 4) \pm \sqrt{8} }{2 \times 1} \\ \\ \implies x = \frac{4 \pm 2\sqrt{2} }{2} \\ \\ \implies x = \frac{ \cancel2(2 \pm \sqrt{2} )}{ \cancel2} \\ \\ \bold{\implies x = 2 \pm \sqrt{2} }$