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 :
`1/(2x - 3) + 1/(x - 5) = 1 1/9 , X != 3/2, 5`
Solve the following quadratic equations by factorization:
4x2 + 5x = 0
Solve the following quadratic equations by factorization:
`(x-1)/(2x+1)+(2x+1)/(x-1)=5/2` , x ≠ -1/2, 1
Solve the following quadratic equations by factorization:
`(x-1)/(x-2)+(x-3)/(x-4)=3 1/3`, x ≠ 2, 4
Find the consecutive numbers whose squares have the sum 85.
Find the whole numbers which when decreased by 20 is equal to 69 times the reciprocal of the members.
Solve the following quadratic equation by factorization:
`sqrt(6)x^2 - 4x - 2sqrt(6) = 0`
The difference of two natural number is 3 and the difference of their reciprocals is `3/28`Find the numbers.
If \[\left( a^2 + b^2 \right) x^2 + 2\left( ab + bd \right)x + c^2 + d^2 = 0\] has no real roots, then
Solve the following equation: 3x2 + 25 x + 42 = 0
Solve the following : `("x" - 1/2)^2 = 4`
Solve the following quadratic equation using formula method only
6x2 + 7x - 10 = 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.
Solve the following quadratic equation by factorization method : `"x"^2 - 5"x" - 36 = 0`
Solve the following equation by factorization
4x2 = 3x
Solve the following equation by factorization
x2– 4x – 12 = 0,when x∈N
There are three consecutive positive integers such that the sum of the square of the first and the product of other two is 154. What are the integers?
Divide 16 into two parts such that the twice the square of the larger part exceeds the square of the smaller part by 164.
If the sum of the roots of the quadratic equation ky2 – 11y + (k – 23) = 0 is `13/21` more than the product of the roots, then find the value of k.
If α and β are roots of the quadratic equation x2 – 7x + 10 = 0, find the quadratic equation whose roots are α2 and β2.