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
Solve the following quadratic equation using formula method only :
16x2 = 24x + 1
If one root of the equation 2x² – px + 4 = 0 is 2, find the other root. Also find the value of p.
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
`2sqrt(3)x^2 - 2sqrt(2)x - sqrt(3) = 0`
Find the value of k so that sum of the roots of the quadratic equation is equal to the product of the roots:
(k + 1)x2 + (2k + 1)x - 9 = 0, k + 1 ≠ 0.
In each of the following, determine whether the given numbers are roots of the given equations or not; 3x2 – 13x – 10 = 0; 5, `(-2)/(3)`
If a is a root of the equation x2 – (a + b)x + k = 0, find the value of k.
If the one root of the equation 4x2 – 2x + p – 4 = 0 be the reciprocal of the other. The value of p is:
Find whether the following equation have real roots. If real roots exist, find them.
5x2 – 2x – 10 = 0
Find the value of 'p' for which the quadratic equation p(x – 4)(x – 2) + (x –1)2 = 0 has real and equal roots.
If x = 3 is one of the roots of the quadratic equation x2 – 2kx – 6 = 0, then the value of k is ______.