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Show that X = −2 is a Solution of 3x2 + 13x + 14 = 0. - CBSE Class 10 - Mathematics

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Question

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

Solution

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.

  Is there an error in this question or solution?

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Solution Show that X = −2 is a Solution of 3x2 + 13x + 14 = 0. Concept: Solutions of Quadratic Equations by Factorization.
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