Advertisements
Advertisements
प्रश्न
`(2)/x^2 - (5)/x + 2` = 0
उत्तर
`(2)/x^2 - (5)/x + 2` = 0
⇒ `(2 - 5x + 2x^2)/x^2` = 0
⇒ 2x2 - 5x + 2 = 0
⇒ 2x2 - 4x - x + 2 = 0
⇒ 2x(x - 2) -1(x -2) = 0
⇒ (x - 2)(2x - 1) = 0
⇒ x - 2 = 0 or 2x - 1 = 0
⇒ x = 2 or x = `(1)/(2)` are two root of the equation.
APPEARS IN
संबंधित प्रश्न
In the following determine the set of values of k for which the given quadratic equation has real roots:
x2 - kx + 9 = 0
Find the values of k for which the given quadratic equation has real and distinct roots:
x2 - kx + 9 = 0
Find the value of the discriminant in the following quadratic equation :
10 x - `1/x` = 3
Determine the nature of the roots of the following quadratic equation :
2x2 -3x+ 4= 0
Solve for x: (x2 - 5x)2 - 7(x2 - 5x) + 6 = 0; x ∈ R.
Find the values of p for which the equation 3x2 – px + 5 = 0 has real roots.
If the roots of px2 + qx + 2 = 0 are reciprocal of each other, then:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
2x2 + x – 1 = 0
Every quadratic equation has at least two roots.
Solve the equation: 3x2 – 8x – 1 = 0 for x.
