Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
x2 – 3x – 10 = 0
Advertisements
उत्तर
x2 – 3x – 10 = 0
⇒ x2 – 5x + 2x – 10 = 0
⇒ x(x – 5) + 2(x – 5) = 0
⇒ (x - 5) (x + 2) = 0
Either x - 5 = 0,
then x = 5
or
x + 2 = 0,
then x = -2
Hence x = 5, -2.
APPEARS IN
संबंधित प्रश्न
John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
Solve the following quadratic equations by factorization:
`x^2-4sqrt2x+6=0`
Solve the following quadratic equations by factorization:
(x + 1) (2x + 8) = (x+7) (x+3)
The sum of a natural number and its positive square root is 132. Find the number.
Solve the following quadratic equation by factorization: \[\frac{a}{x - b} + \frac{b}{x - a} = 2\]
Solve the following equation:
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 5/2 , x ≠-1/2`
Solve the following equation: `"a"("x"^2 + 1) - x("a"^2 + 1) = 0`
The area of a right-angled triangle is 600 cm2. If the base of the triangle exceeds the altitude by 10 cm, find the dimensions of the triangle.
Find two consecutive integers such that the sum of their squares is 61
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.
