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Show that X = −2 is a Solution of 3x2 + 13x + 14 = 0.

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प्रश्न

Show that x = −2 is a solution of 3x2 + 13x + 14 = 0.

संक्षेप में उत्तर
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उत्तर

Given that the equation  3x2 + 13x + 14 = 0

     `3x^2 + 7x + 6x + 14 = 0`

`x (3x + 7) + 2 (3x + 7) = 0`

            `(3x + 7) (x + 2) = 0`

(3x + 7) = 0

`x = (-7)/3`

 or

(x + 2) = 0

 x = - 2

Therefore, x = -2 is the solution of given equation.

Hence, proved.

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अध्याय 4: Quadratic Equations - Exercise 4.14 [पृष्ठ ८२]

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आर.डी. शर्मा Mathematics [English] Class 10
अध्याय 4 Quadratic Equations
Exercise 4.14 | Q 13 | पृष्ठ ८२

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