Question

Solve the equation 2x^2 – 4x + 3 = 0 using the quadratic formula. Please show the steps.

Answer 1

Given:-

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  `\sf \: 2 {x}^(2) - 4x + 3 = 0`

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By using quadratic equation formula :

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  `\small \underline{ \sf \: \: a {x}^(2) + bx + c = 0 \: \: }`

Formula:-

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  `\small { \pink{\star} \boxed{ \sf \color{purple}x = \frac{ - b \pm \sqrt{ {b}^(2) - ac } }{2a} \:} }`

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Solution:-

`\sf \: \: a = 2 , b = -4 , c = 3`

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  `\sf \: x \: = \frac{ \cancel - ( \cancel- 4) \pm \sqrt{( - 4)^(2) - 4 * 2 * 3 } }{2 * 2}`

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  `\sf \: x \: = (4 \pm \: √(16 - 24) )/(4)`

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  `\sf \: x = \frac{4 \pm √( \cancel- 8) }{\cancel{4}}`

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• 
  `\underline{\boxed{ \sf \purple{ x = 4 \pm √( - 2) }}}`

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hope it helps! :)