Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
x2 – (a + b)x + ab = 0
Advertisements
उत्तर
x2 – (a + b)x + ab = 0
⇒ x2 – ax – bx + ab = 0
⇒ x(x – a) – b(x – a) = 0
⇒ (x – a)(x – b) = 0
Since x – a = 0 or x – b = 0
Then x = a or x = b
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
6x2 + 11x + 3 = 0
Solve the following quadratic equations by factorization:
a(x2 + 1) - x(a2 + 1) = 0
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.
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.
Five times a certain whole number is equal to three less than twice the square of the number. Find the number.
A school bus transported an excursion party to a picnic spot 150 km away. While returning, it was raining and the bus had to reduce its speed by 5 km/hr, and it took one hour longer to make the return trip. Find the time taken to return.
The hypotenuse of a right-angled triangle is 1 m less than twice the shortest side. If the third side is 1 m more than the shortest side, find the sides of the triangle.
Solve the following quadratic equation by factorization method.
3p2 + 8p + 5 = 0
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.
