Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
2x2 – 9x + 10 = 0, when:
- x ∈ N
- x ∈ Q
उत्तर
2x2 – 9x + 10 = 0
⇒ 2x2 – 5x – 4x + 10 = 0
⇒ x(2x – 5) – 2(2x – 5) = 0
⇒ (2x – 5)(x – 2) = 0
⇒ 2x – 5 = 0 or x – 2 = 0
⇒ x = `5/2` or x = 2
- When x ∈ N, we have x = 2
- When x ∈ Q, we have x = `2, 5/2`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
3x2 − 14x − 5 = 0
Solve the following quadratic equations by factorization:
`(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`
Solve the following quadratic equations by factorization:
`3x^2-2sqrt6x+2=0`
The sum of two numbers is 48 and their product is 432. Find the numbers?
Two pipes running together can fill a tank in `11 1/9` minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately.
Solve the following quadratic equations by factorization:
\[3\left( \frac{7x + 1}{5x - 3} \right) - 4\left( \frac{5x - 3}{7x + 1} \right) = 11; x \neq \frac{3}{5}, - \frac{1}{7}\]
Solve the following quadratic equation by factorisation:
(x - 4) (x + 2) = 0
Solve the following quadratic equation:
4x2 - 4ax + (a2 - b2) = 0 where a , b ∈ R.
Solve the following equation by factorization
(x – 3) (2x + 5) = 0
If the sum of two smaller sides of a right – angled triangle is 17cm and the perimeter is 30cm, then find the area of the triangle.
