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Solve the Following Quadratic Equations by Factorization: X2 - X - A(A + 1) = 0 - Mathematics

Solve the following quadratic equations by factorization:

x2 - x - a(a + 1) = 0

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Solution

We have been given

x2 - x - a(a + 1) = 0

x2 + ax - (a + 1)x - a(a + 1) = 0

x(x + a) - (a + 1)(x + a) = 0

(x - (a + 1))(x + a) = 0

Therefore,

x - (a + 1) = 0

x = (a + 1)

or,

x + a = 0

x = -a

Hence, x = a + 1 or x = -a

  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 53 | Page 21
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