Advertisements
Advertisements
प्रश्न
Solve the following equation: 2x2 - 3x - 9=0
Advertisements
उत्तर
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
संबंधित प्रश्न
Find two numbers whose sum is 27 and product is 182.
The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.
Solve : x2 – 11x – 12 =0; when x ∈ N
If the equation ax2 + 2x + a = 0 has two distinct roots, if
Solve the following equation: `10"x" - 1/"x" = 3`
A two digit number is such that the product of its digit is 14. When 45 is added to the number, then the digit interchange their places. Find the number.
An aeroplane travelled a distance of 400 km at an average speed of x km/hr. On the return journey the speed was increased by 40 km/hr. Write down the expression for the time taken for
the return Journey. If the return journey took 30 minutes less than the onward journey write down an equation in x and find its value.
Solve the following equation by factorization
x(2x + 5) = 3
Solve the following equation by factorization
x(6x – 1) = 35
If x = 3 is one root of the quadratic equation 2x2 + px + 30 = 0, find the value of p and the other root of the quadratic equation.
