Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
48x2 − 13x − 1 = 0
Advertisements
उत्तर
We have been given
48x2 - 13x - 1 = 0
48x2 - 16x + 3x - 1 = 0
16x(3x - 1) + 1(3x - 1) = 0
(16x + 1)(3x - 1) = 0
Therefore,
16x + 1 = 0
16x = -1
x = -1/16
or,
3x - 1 = 0
3x = 1
x = 1/3
Hence, x = -1/16 or x = 1/3
APPEARS IN
संबंधित प्रश्न
Solve for x: `(x-3)/(x-4)+(x-5)/(x-6)=10/3; x!=4,6`
Solve for x
`(2x)/(x-3)+1/(2x+3)+(3x+9)/((x-3)(2x+3)) = 0, x!=3,`
Find two consecutive positive integers, sum of whose squares is 365.
Solve the following quadratic equations by factorization:
25x(x + 1) = -4
Solve the following quadratic equations by factorization:
(a + b)2x2 - 4abx - (a - b)2 = 0
Solve the following quadratic equations by factorization:
`1/(x-1)-1/(x+5)=6/7` , x ≠ 1, -5
Let us find two natural numbers which differ by 3 and whose squares have the sum 117.
Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, find the integers.
Solve each of the following equations by factorization:
`X^2 – 10x – 24 = 0 `
Solve the following quadratic equations by factorization:
`5/(x - 2) - 3/(x + 6) = 4/x`
Solve the following quadratic equation for x:
x2 − 4ax − b2 + 4a2 = 0
Solve the following quadratic equation using formula method only
x2 - 6x + 4 = 0
If `sqrt (2/3)` is a solution of equation 3x2 + mx + 2 = 0, find the value of m.
Solve equation using factorisation method:
(2x – 3)2 = 49
Solve the following by reducing them to quadratic form:
`sqrt(x^2 - 16) - (x - 4) = sqrt(x^2 - 5x + 4)`.
Find two consecutive integers such that the sum of their squares is 61
Ritu bought a saree for Rs. 60x and sold it for Rs. (500 + 4x) at a loss of x%. Find the cost price.
Find the roots of the following quadratic equation by the factorisation method:
`2/5x^2 - x - 3/5 = 0`
If the area of a square is 400 m2, then find the side of the square by the method of factorization.
For quadratic equation `2x + 5/x = 5` :
