Advertisements
Advertisements
प्रश्न
`2/x^2-5/x+2=0`
उत्तर
`2/x^2-5/x+2=0`
⇒`2-5x+2x^2=0` [Multiplying both sides by `x^2` ]
⇒`2x^-5x+2=0`
⇒`2x^2-(4x+x)+2=0`
⇒`2x^2-4x-x+2=0`
⇒`2x(x-2)-1(x-2)=0`
⇒`(2x-1) (x-2)=0`
⇒`2x=1=0 or x-2=0`
⇒ `x=1/2 or x=2`
Hence, the roots of the equation are `1/2` and 2.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by using formula method :
2x2 - 3x = 2
Solve the following equation and calculate the answer correct to two decimal places:
x2 – 5x – 10 = 0.
In the following, determine whether the given values are solutions of the given equation or not:
`x+1/x=13/6`, `x=5/6`, `x=4/3`
Solve the following equation using the formula:
`2/3x = -1/6x^2 - 1/3`
Without solving, comment upon the nature of roots of the following equation:
6x2 – 13x + 4 = 0
Solve:
`x/3 + 3/(6 - x) = (2(6 +x))/15; (x ≠ 6)`
Solve:
`x/a - (a + b)/x = (b(a + b))/(ax)`
Solve the following equation by using formula :
`(2)/(x + 2) - (1)/(x + 1) = (4)/(x + 4) - (3)/(x + 3)`
From the following equations, which one is the quadratic equation?
A train travels a distance of 90 km at a constant speed. Had the speed been 15 km/h more, it would have taken 30 minutes less for the journey. Find the original speed of the train.
