# Find the roots of the following equations 1/(x+4) - 1/(x-7) = 11/30, x = -4, 7 - Mathematics

Find the roots of the following equations

1/(x+4) - 1/(x-7) = 11/30, x = -4, 7

#### Solution

1/(x+4) - 1/(x-7) = 11/30

⇒ (x-7-x-4)/((x+4)(x-7)) = 11/30

⇒ (-11)/((x+4)(x-7)) = 11/30

⇒ (x+4)(x-7) = -30

⇒ x2 - 3x - 28 = 30

⇒ x2 - 3x + 2 = 0

⇒ x2 - 2x - x + 2 = 0

⇒ x(x - 2) - 1(x - 2) = 0

⇒ (x - 2)(x - 1) = 0

⇒ x = 1 or 2

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#### APPEARS IN

NCERT Class 10 Maths
Exercise 4.3 | Q 3.2 | Page 88