Advertisements
Advertisements
Question
Solve the following equation: 2x2 - 3x - 9=0
Advertisements
Solution
2x2 - 3x - 9=0
`"x"^2 - 3/2"x" - 9/2 = 0`
`"x"^2 - 3x + 3/2 "x" - 9/2 =0`
`"x"("x" - 3) + 3/2 ("x" - 3) = 0`
`("x" - 3)("x" + 3/2) = 0`
`"(x - 3)" = 0 , ("x" + 3/2) = 0`
x = 3 , x = `-3/2`
APPEARS IN
RELATED QUESTIONS
A two digits number is such that the product of the digits is 12. When 36 is added to the number, the digits inter change their places determine the number.
The sum of two numbers is 9. The sum of their reciprocals is 1/2. Find the numbers.
If two pipes function simultaneously, a reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours will the second pipe take to fill the reservoir?
Two natural number differ by 3 and their product is 504. Find the numbers.
In the following determine the set of values of k for which the given quadratic equation has real roots: \[2 x^2 + x + k = 0\]
Is there any real value of 'a' for which the equation x2 + 2x + (a2 + 1) = 0 has real roots?
The sum of the squares of three consecutive natural numbers is 110. Determine the numbers.
There are three consecutive positive integers such that the sum of the square of the first and the product of other two is 154. What are the integers?
If the perimeter of a rectangular plot is 68 m and the length of its diagonal is 26 m, find its area.
The product of two successive integral multiples of 5 is 300. Then the numbers are:
