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Solve the Following Quadratic Equations by Factorization: 25x(X + 1) = -4 - Mathematics

Solve the following quadratic equations by factorization:

25x(x + 1) = -4

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Solution

We have been given

25x(x + 1) = -4

25x2 + 25x + 4 = 0

25x2 + 20x + 5x + 4 = 0

5x(5x + 4) + 1(5x + 4) = 0

(5x + 1)(5x + 4) = 0

Therefore,

5x + 1 = 0

5x = -1

x = -1/5

or,

5x + 4 = 0

5x = -4

x = -4/5

Hence, x = -1/5 or x = -4/5

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

RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.3 | Q 10 | Page 19
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