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Solve the Following Quadratic Equations by Factorization: 3x2 = -11x - 10 - Mathematics

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Question

Solve the following quadratic equations by factorization:

3x2 = -11x - 10

Solution

We have been given

3x2 = -11x - 10

3x2 + 11x + 10 = 0

3x2 + 6x + 5x + 10 = 0

3x(x + 2) + 5(x + 2) = 0

(x + 2)(3x + 5) = 0

Therefore,

3x + 5 = 0

3x = -5

x = -5/3

or,

x + 2 = 0

x = -2

Hence, x = -5/3 or x = -2

  Is there an error in this question or solution?
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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 9 | Page no. 19
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 9 | Page no. 19
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Solve the Following Quadratic Equations by Factorization: 3x2 = -11x - 10 Concept: Solutions of Quadratic Equations by Factorization.
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