Advertisements
Advertisements
प्रश्न
Solve the following equation: 2x2 - x - 6 = 0
Advertisements
उत्तर
2x2 - x - 6 = 0
`"x"^2 - 1/2 "x" - 3 = 0`
`"x"^2 - 2"x" + 3/2"x" - 3 = 0 `
`"x"("x" - 2) + 3/2 ("x" - 2) = 0`
`("x" - 2)("x" + 3/2) = 0`
(x - 2) = 0 , `("x" + 3/2) = 0`
x = 2 , x = `-3/2`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
3x2 = -11x - 10
Solve the following quadratic equations by factorization:
\[9x^2 - 6 b^2 x - \left(a^4 - b^4 \right) = 0\]
Is there any real value of 'a' for which the equation x2 + 2x + (a2 + 1) = 0 has real roots?
Solve the following equation: (x-8)(x+6) = 0
Solve the following quadratic equation by factorization method : `"x"^2 - 5"x" - 36 = 0`
In each of the following determine whether the given values are solutions of the equation or not.
9x2 - 3x - 2 = 0; x = `-(1)/(3), x = (2)/(3)`
Solve the following equation by factorization:
`x^2 - (1 + sqrt(2))x + sqrt(2) = 0`
Solve the following equation by factorization
`(1)/(x - 3) - (1)/(x + 5) = (1)/(6)`
A school bus transported an excursion party to a picnic spot 150 km away. While returning, it was raining and the bus had to reduce its speed by 5 km/hr, and it took one hour longer to make the return trip. Find the time taken to return.
The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find the present age.
