Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
3(x – 2)2 = 147
Advertisements
उत्तर
3(x – 2)2 = 147
3(x2 - 4x + 4) = 147
⇒ 3x2 - 12x + 12 - 147 = 0
⇒ 3x2 - 12x - 135 = 0
⇒ x2 - 4x - 45 = 0 ...(dividing by 3)
⇒ x2 - 9x + 5x - 45 = 0
⇒ x(x - 9) + 5(x - 9) = 0
⇒ (x - 9) (x + 5) = 0
EIther x - 9 = 0,
then x = 9
or
x + 5 = 0,
then x = -5
Hence x = 9, -5.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
3x2 − 14x − 5 = 0
Sum of two numbers is 16. The sum of their reciprocals is 1/3. Find the numbers.
Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, find the integers.
Solve each of the following equations by factorization:
`x=(3x+1)/(4x)`
Solve the following quadratic equations by factorization: \[\frac{16}{x} - 1 = \frac{15}{x + 1}; x \neq 0, - 1\]
Three years ago, a man was 5 times the age of his son. Four years hence, he will be thrice his son's age. Find the present ages of the man and his son.
Solve the following equation by factorization
6p2+ 11p – 10 = 0
Solve the following equation by factorization
x2– 4x – 12 = 0,when x∈N
The length of a rectangle exceeds its breadth by 5 m. If the breadth were doubled and the length reduced by 9 m, the area of the rectangle would have increased by 140 m². Find its dimensions.
A man spent Rs. 2800 on buying a number of plants priced at Rs x each. Because of the number involved, the supplier reduced the price of each plant by Rupee 1.The man finally paid Rs. 2730 and received 10 more plants. Find x.
