Advertisements
Advertisements
प्रश्न
`(2)/x^2 - (5)/x + 2` = 0
Advertisements
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.
संबंधित प्रश्न
Prove that both the roots of the equation (x - a)(x - b) +(x - b)(x - c)+ (x - c)(x - a) = 0 are real but they are equal only when a = b = c.
Determine the nature of the roots of the following quadratic equation :
x2 +3x+1=0
Solve the following quadratic equation using formula method only
16x2 - 24x = 1
Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3).
Form the quadratic equation whose roots are:
`sqrt(3) and 3sqrt(3)`
Find the value of k for which the given equation has real roots:
9x2 + 3kx + 4 = 0.
Without solving the following quadratic equation, find the value of ‘p’ for which the given equations have real and equal roots: x2 + (p – 3)x + p = 0.
If the equation x2 – (2 + m)x + (–m2 – 4m – 4) = 0 has coincident roots, then:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
3x2 – 4x + 1 = 0
Find whether the following equation have real roots. If real roots exist, find them.
`1/(2x - 3) + 1/(x - 5) = 1, x ≠ 3/2, 5`
