Advertisements
Advertisements
प्रश्न
Solve the equation using the factorisation method:
`(3x -2)/(2x -3) = (3x - 8)/(x + 4)`
Advertisements
उत्तर
`(3x -2)/(2x - 3) = (3x - 8)/(x + 4)`
⇒ (3x – 2)(x + 4) = (2x – 3)(3x – 8)
⇒ 3x2 + 12x – 2x – 8 = 6x2 – 16x – 9x + 24
⇒ 3x2 + 10x – 8 = 6x2 – 25x + 24
⇒ 3x2 – 35x + 32 = 0
⇒ 3x2 – 32x – 3x + 32 = 0
⇒ x(3x – 32) – 1(3x – 32) = 0
⇒ (x – 1)(3x – 32) = 0
If x – 1 = 0 or 3x – 32 = 0
⇒ x = 1 or x = `32/3 = 10 2/3`
APPEARS IN
संबंधित प्रश्न
Solve (i) x2 + 3x – 18 = 0
(ii) (x – 4) (5x + 2) = 0
(iii) 2x2 + ax – a2 = 0; where ‘a’ is a real number
Solve the following quadratic equations by factorization:
`2/2^2-5/x+2=0`
Solve each of the following equations by factorization:
`9/2x=5+x^2`
Solve the following quadratic equations by factorization:
`4(2x – 3)^2 – (2x – 3) – 14 = 0`
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
Solve the following quadratic equations by factorization:
\[\frac{x - 2}{x - 3} + \frac{x - 4}{x - 5} = \frac{10}{3}; x \neq 3, 5\]
If one of the equation x2 + ax + 3 = 0 is 1, then its other root is
If an integer is added to its square the sum is 90. Find the integer with the help of a quadratic equation.
Solve the equation 3x² – x – 7 = 0 and give your answer correct to two decimal places.
Solve the following equation by factorization
`4sqrt(3)x^2 + 5x - 2sqrt(3)` = 0
