Advertisements
Advertisements
प्रश्न
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
Advertisements
उत्तर
`("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
(x + 3)(2x - 3) = (3x - 7)(x + 2)
2x2 + 6x - 3x - 9 = 3x2 - 7x + 6x - 14
2x2 + 3x - 9 = 3x2 - x - 14
(3 - 2)x2 +(-1 - 3) x + (- 14 + 9) = 0
x2 - 4x -5= 0
x2 + x - 5x - 5 = 0
x (x+ 1) - 5 (x + 1) = 0
( x + 1)(x - 5) = 0
(x+ 1)= 0, (x - 5)= 0
X = -1 , x = 5
APPEARS IN
संबंधित प्रश्न
Solve the equation:`14/(x+3)-1=5/(x+1); xne-3,-1` , for x
Solve the following quadratic equations by factorization:
6x2 - x - 2 = 0
Solve the following quadratic equations by factorization:
`(x-1)/(2x+1)+(2x+1)/(x-1)=5/2` , x ≠ -1/2, 1
Solve the following quadratic equations by factorization:
`(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`
A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hour more, it would have taken 30 minutes less for a journey. Find the original speed of the train.
If a and b can take values 1, 2, 3, 4. Then the number of the equations of the form ax2 +bx + 1 = 0 having real roots is
Solve equation using factorisation method:
2(x2 – 6) = 3(x – 4)
Solve the following equation by factorization
2x2 – 8x – 24 = 0 when x∈I
Sum of two natural numbers is 8 and the difference of their reciprocal is `2/15`. Find the numbers.
A person was given Rs. 3000 for a tour. If he extends his tour programme by 5 days, he must cut down his daily expenses by Rs. 20. Find the number of days of his tour programme.
