Advertisements
Advertisements
प्रश्न
Solve the equation `4/x-3=5/(2x+3); xne0,-3/2` for x .
Advertisements
उत्तर
Given equation: `4/x-3=5/(2x+3); xne0,-3/2`
`4/x-3=5/(2x+3)`
`=>(4-3x)/x=5/(2x+3)`
⇒(4−3x)(2x+3)=5x
⇒−6x2+8x−9x+12=5x
⇒6x2+6x−12=0
⇒x2+x−2=0
⇒x2+2x−x−2=0
⇒(x+2)(x−1)=0
⇒x+2=0 or x−1=0
⇒x=−2 or x=1
Thus, the solutions of the given equation is − 2 or 1
APPEARS IN
संबंधित प्रश्न
Find the whole numbers which when decreased by 20 is equal to 69 times the reciprocal of the members.
A pole has to be erected at a point on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?
Solve : x2 – 11x – 12 =0; when x ∈ N
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
Solve equation using factorisation method:
`x = (3x + 1)/(4x)`
Solve equation using factorisation method:
`4/(x + 2) - 1/(x + 3) = 4/(2x + 1)`
Let ∆ ABC ∽ ∆ DEF and their areas be respectively, 64 cm2 and 121 cm2. If EF = 15⋅4 cm, find BC.
Solve the following equation by factorization
a2x2 + (a2+ b2)x + b2 = 0, a ≠ 0
Find two consecutive odd integers such that the sum of their squares is 394.
For equation `1/x + 1/(x - 5) = 3/10`; one value of x is ______.
