Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
`(x+3)/(x-2)-(1-x)/x=17/4`
Advertisements
उत्तर
We have been given
`(x+3)/(x-2)-(1-x)/x=17/4`
4(x2 + 3x - x + x2 + 2 - 2x) = 17(x2 - 2x)
9x2 - 34x - 8 = 0
9x2 - 36x + 2x - 8 = 0
9x(x - 4) + 2(x - 4) = 0
(9x + 2)(x - 4) = 0
Therefore,
9x + 2 = 0
9x = -2
x = -2/9
or,
x - 4 = 0
x = 4
Hence, x = -2/9 or x = 4
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by Factorisation method: x2 + 7x + 10 = 0
Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`
Solve the following quadratic equations by factorization:
48x2 − 13x − 1 = 0
Solve the following quadratic equations by factorization:
4x2 + 4bx - (a2 - b2) = 0
The sum of the squares of three consecutive natural numbers as 149. Find the numbers
Solve:
`(x/(x + 2))^2 - 7(x/(x + 2)) + 12 = 0; x != -2`
Solve each of the following equations by factorization:
`x+1/x=2.5`
Solve the following quadratic equations by factorization:
`x^2 – (a + b) x + ab = 0`
Solve the following quadratic equation by factorisation.
`sqrt2 x^2 + 7x + 5sqrt2 = 0` to solve this quadratic equation by factorisation, complete the following activity.
`sqrt2 x^2 + 7x + 5sqrt2 = 0`
`sqrt2x^2+square+square+5sqrt2=0`
`x("______") + sqrt2 ("______") = 0`
`("______") (x + sqrt2) = 0`
`("______") = 0 or (x + sqrt2) = 0`
∴ x = `square or x = -sqrt2`
∴ `square` and `-sqrt(2)` are roots of the equation.
Solve the following equation :
`sqrt 2 "x"^2 - 3"x" - 2 sqrt 2 = 0`
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
Three consecutive natural numbers are such that the square of the first increased by the product of other two gives 154. Find the numbers.
The area of the isosceles triangle is 60 cm2, and the length of each one of its equal side is 13cm. Find its base.
If an integer is added to its square the sum is 90. Find the integer with the help of a quadratic equation.
Solve the following by reducing them to quadratic form:
`sqrt(y + 1) + sqrt(2y - 5) = 3, y ∈ "R".`
Solve the following equation by factorization
`a/(ax - 1) + b/(bx - 1) = a + b, a + b ≠ 0, ab ≠ 0`
Find three consecutive odd integers, the sum of whose squares is 83.
The product of two successive integral multiples of 5 is 300. Then the numbers are:
If 'p' is a root of the quadratic equation x2 – (p + q) x + k = 0, then the value of 'k' is ______.
The product of two integers is –18; the integers are ______.
