Advertisements
Advertisements
प्रश्न
Solve the following equation: `10"x" - 1/"x" = 3`
Advertisements
उत्तर
`10"x" - 1/"x" = 3`
10x2 - 1 = 3x
10x2 - 3x - 1 = 0
`"x"^2 - 3/10 "x" - 1/10 = 0`
`"x"^2 + 1/5 "x" - 1/2 "x" - 1/10 = 0`
`"x" ("x" + 1/5) - 1/2 ("x" + 1/5) = 0`
`("x" + 1/5)("x" - 1/2) = 0`
`("x" + 1/5) = 0` , `("x" - 1/2) = 0`
x = `-1/5` , `x = 1/2`
APPEARS IN
संबंधित प्रश्न
Solve the equation `4/x-3=5/(2x+3); xne0,-3/2` for x .
Solve the following quadratic equations by factorization:
`x^2-(sqrt2+1)x+sqrt2=0`
An aeroplane take 1 hour less for a journey of 1200 km if its speed is increased by 100 km/hr from its usual speed. Find its usual speed.
Solve each of the following equations by factorization:
`9/2x=5+x^2`
Write the sum of real roots of the equation x2 + |x| − 6 = 0.
Solve the following equation : 5x2 - 11x + 2 = 0
Solve the following equation:
`("x" + 1)/("x" - 1) - ("x" - 1)/("x" + 1) = 5/6 , "x" ≠ -1,1`
In each of the following determine whether the given values are solutions of the equation or not
2x2 - 6x + 3 = 0; x = `(1)/(2)`
Solve the following equation by factorization
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 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.
