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Solve the following equation using the formula: 23x=-16x2-13 - Mathematics

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प्रश्न

Solve the following equation using the formula: 

`2/3x = -1/6x^2 - 1/3`

योग

उत्तर

`2/3x = -1/6x^2 - 1/3`  

`\implies` 4x = – x2 – 2 

`implies` x2 + 4x + 2 = 0 

Here a = 1, b = 4 and c = 2 

Then `x = (-b +- sqrt(b^2 - 4ac))/(2a)` 

= `(-(-4) +- sqrt((4)^2-4(1)(2)))/(2(1))` 

= `(-4 +- sqrt(8))/2`

= `(-4 +- 2sqrt(2))/2`

= `-2 +- sqrt(2)` 

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अध्याय 5: Quadratic Equations - Exercise 5 (D) [पृष्ठ ६४]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 5 Quadratic Equations
Exercise 5 (D) | Q 1.07 | पृष्ठ ६४
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