Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
`3x - (8)/x `= 2
Advertisements
उत्तर
`3x - (8)/x `= 2
`(3x^2 - 8)/x` = 2
⇒ 3x2 - 8 = 2x
⇒ 3x2 - 2x - 8 = 0
⇒ 3x2 - 6x + 4x - 8 = 0
⇒ 3x(x - 2) + 4(x - 2) = 0
⇒ (x - 2)(3x + 4) = 0
Either x - 2 = 0,
then x = 2
or
3x + 4 = 0,
then 3x = -4
⇒ x = `(-4)/(3)`
Hence x = 2, `(-4)/(3)`.
APPEARS IN
संबंधित प्रश्न
A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, it had to increase its speed by 400 km/hr from its usual speed. Find the usual speed of the plane.
The sum of ages of a man and his son is 45 years. Five years ago, the product of their ages was four times the man's age at the time. Find their present ages.
The sum of two natural numbers is 9 and the sum of their reciprocals is `1/2`. Find the numbers .
Write the set of value of k for which the quadratic equations has 2x2 + kx − 8 = 0 has real roots.
Solve the following equation: `"a"/("x" - "a") + "b"/("x" - "b") = (2"c")/("x" - "c")`
If an integer is added to its square the sum is 90. Find the integer with the help of a quadratic equation.
Solve for x:
`(x + 1/x)^2 - (3)/(2)(x - 1/x)-4` = 0.
Solve the following equation by factorization
4x2 = 3x
If the product of two positive consecutive even integers is 288, find the integers.
Rs. 7500 is divided equally among a certain number of children. Had there been 20 less children, each would have receive Rs 100 more. Find the original number of children.
