Home » Aptitude » Quadratic Equation » Question
  1. The roots of
    x + 4
    +
    x - 4
    =
    10
    are :
    x - 4
    x + 4
    3
    1. ± 4
    2. ± 6
    3. ± 8
    4. 2 ± √3
Correct Option: C

Given equation is : y +
1
=
10
,
y3

where y =
x + 4
x - 4

∴ 3y2 - 10y + 3 = 0
⇒ y = 3,
1
3

∴ y =
x + 4
= 3 or, y =
x + 4
=
1
x - 4
x - 4
3

3x + 12 = x - 4 or, x + 4 = 3x - 12
⇒ x = - 8 or, x = 8
Hence , the roots of equation are - 8 and 8 .



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