Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation by factorization method : `x^2-5x+6=0`
उत्तर
The given quadratic equation is x2 - 5x + 6 = 0
Rewriting the above equation, we have,
x2 - 3x - 2x + 6 =0
x(x - 3) - 2(x - 3)=0
(x - 2)(x - 3)=0
x - 2 = 0 or x - 3 = 0
x = 2 or x = 3
संबंधित प्रश्न
Solve for x : 12abx2 – (9a2 – 8b2 ) x – 6ab = 0
Find the roots of the following quadratic equation by factorisation:
`sqrt2 x^2 +7x+ 5sqrt2 = 0`
A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.
Solve the following quadratic equations by factorization:
`(2x)/(x-4)+(2x-5)/(x-3)=25/3`
Solve the following quadratic equations by factorization:
`(x-3)/(x+3)-(x+3)/(x-3)=48/7` , x ≠ 3, x ≠ -3
Solve the following quadratic equation by factorization:
`(x-5)(x-6)=25/(24)^2`
Solve the following quadratic equation by factorization:
`sqrt(6)x^2 - 4x - 2sqrt(6) = 0`
Solve the following quadratic equations by factorization:
`5/(x - 2) - 3/(x + 6) = 4/x`
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 + px + 3 = 0\]
Write the number of real roots of the equation x2 + 3 |x| + 2 = 0.
A quadratic equation whose one root is 2 and the sum of whose roots is zero, is ______.
Solve equation using factorisation method:
x2 – (a + b)x + ab = 0
Solve the following quadratic equation by factorisation:
x2 - 3x - 10 = 0
Solve the following equation by factorization
x(6x – 1) = 35
Solve the following equation by factorization
2x2 – 9x + 10 = 0,when x∈N
The sum of two numbers is 9 and the sum of their squares is 41. Taking one number as x, form ail equation in x and solve it to find the numbers.
The difference between the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
The perimeter of a rectangular plot is 180 m and its area is 1800 m2. Take the length of the plot as x m. Use the perimeter 180 m to write the value of the breadth in terms of x. Use the values of length, breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find the present age.
The polynomial equation x(x + 1) + 8 = (x + 2) (x – 2) is: