Advertisements
Advertisements
प्रश्न
`10x -(1)/x` = 3
उत्तर
`10x -(1)/x` = 3
⇒ `(10x^2 - 1)/x` = 3
⇒ 10x2 - 3x -1 = 0
⇒ 10x2 - 5x + 2x - 1 = 0
⇒ 5x(2x - 1) + 1(2x - 1) = 0
⇒ (2x - 1)(5x + 1) = 0
⇒ 2x - 1 = 0 or 5x + 1 = 0
x = `(1)/(2)` or x = `- (1)/(5)` are two roots of the equation.
APPEARS IN
संबंधित प्रश्न
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:
2x2 - 3x + 5 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
5x2 - 4x + 2 + k(4x2 - 2x - 1) = 0
Find the values of k for which the roots are real and equal in each of the following equation:
2x2 + kx + 3 = 0
Solve the following quadratic equation using formula method only
`"x"^2 - 4 sqrt 15 "x" - 4 = 0`
Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3).
If a is a root of the equation x2 – (a + b)x + k = 0, find the value of k.
Find the discriminant of the following equations and hence find the nature of roots: 7x2 + 8x + 2 = 0
Find the nature of the roots of the following quadratic equations: `x^2 - 2sqrt(3)x - 1` = 0 If real roots exist, find them.
If x = 3 is one of the roots of the quadratic equation x2 – 2kx – 6 = 0, then the value of k is ______.
The roots of the quadratic equation x2 – 6x – 7 = 0 are ______.