Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
3x2= x + 4
Advertisements
उत्तर
3x2 = x + 4
⇒ 3x2 – x – 4 = 0
⇒ 3x2 – 4x + 3x – 4 = 0
⇒ x (3x - 4) + 1 (3x - 4) = 0
⇒ (3x - 4) (x + 1) = 0
Either 3x - 4 = 0,
then 3x = 4
⇒ x = `(4)/(3)`
or
x + 1 = 0,
then x = -1
Hence x = `(4)/(3), -1`.
APPEARS IN
संबंधित प्रश्न
The sum of two numbers is 48 and their product is 432. Find the numbers?
A passenger train takes 2 hours less for a journey of 300 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
The sum of two natural number is 28 and their product is 192. Find the numbers.
Solve the following quadratic equation by factorisation.
m2 - 11 = 0
Solve the following quadratic equations by factorization:
\[\frac{4}{x} - 3 = \frac{5}{2x + 3}, x \neq 0, - \frac{3}{2}\]
Solve the following equation: `("a+b")^2 "x"^2 - 4 "abx" - ("a - b")^2 = 0`
A two digit number is such that its product of its digit is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.
Solve the following equation by factorization
x2 – (p + q)x + pq = 0
If twice the area of a smaller square is subtracted from the area of a larger square, the result is 14 cm2. However, if twice the area of the larger square is added to three times the area of the smaller square, the result is 203 cm2. Determine the sides of the two squares.
The polynomial equation x(x + 1) + 8 = (x + 2) (x – 2) is:
