Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
(x – 4)2 + 52 = 132
उत्तर
(x – 4)2 + 52 = 132
x2 – 8x + 16 + 25 = 169
x2 - 8x + 41 - 169 = 0
⇒ x2 - 8x - 128 = 0
⇒ x2 - 16x + 8x - 128 = 0
⇒ x (x - 16) + 8(x - 16) = 0
⇒ (x - 16) (x + 8) = 0
Either x - 16 = 0,
then x = 16
or
x + 8 = 0,
then x = -8
Hence x = 16, -8.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
6x2 + 11x + 3 = 0
The sum of a number and its square is 63/4. Find the numbers.
The sum of ages of a man and his son is 45 years. Five years ago, the product of their ages was four times the man's age at the time. Find their present ages.
Two natural number differ by 3 and their product is 504. Find the numbers.
Solve the following quadratic equation by factorisation.
x2 + x – 20 = 0
Solve the following equation: `"a"/("x" - "a") + "b"/("x" - "b") = (2"c")/("x" - "c")`
Solve the following quadratic equation by factorisation:
(x - 4) (x + 2) = 0
By selling an article for Rs. 21, a trader loses as much per cent as the cost price of the article. Find the cost price.
A dealer sells a toy for ₹ 24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.
Find the roots of the following quadratic equation by the factorisation method:
`2x^2 + 5/3x - 2 = 0`
