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Solve the Quadratic Equation 2x2 + 5x + 2= 0 Using Formula Method. - Algebra

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प्रश्न

Solve the quadratic equation 2x2 + 5x + 2= 0 using formula method.

योग

उत्तर

2x2 + 5x + 2= 0 .

Comparing the given equation with ax2 + bx +cx = 0.

a = 2, b = 5, c = 2.

b- 4ac = 52 - 4 (2)(2) 

              = 25 - 16

              = 9

By Formula Method 

x = `(-b +- sqrt(b^2 -4ac))/(2a)` 

`x = (-5 +-sqrt(9))/(2(2))`

   `=(-5+-3)/4`

`x =(-5+3)/4 " or " x = (-5-3)/4`  

`x = (-2)/4 " or  " x = (-8)/4`

∴ `x =(-1)/2 `     x = - 2

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2014-2015 (July)

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