# Solve the Following Equation: X2 + (A + 1/A)X + 1 = 0 - Mathematics

Sum

Solve the following equation:  x^2 + (a + 1/a)x + 1 = 0

#### Solution

x^2 + (a + 1/a)x + 1 = 0

x^2 + ax + 1/a x + 1 = 0

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

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

x = -a , x = - 1/a

Is there an error in this question or solution?

#### APPEARS IN

Frank ICSE Class 10 Mathematics Part 2