Advertisements
Advertisements
प्रश्न
Solve the following equation: 2x2 - 3x - 9=0
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
Solve the following quadratic equations by factorization:
9x2 − 3x − 2 = 0
Two pipes running together can fill a tank in `11 1/9` minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately.
Solve the following quadratic equations by factorization:
`(3x-2)/(2x-3)=(3x-8)/(x+4)`
Solve the following equation : 5x2 - 11x + 2 = 0
The product of a girl's age five years ago and her age 3 years later is 105. Find her present age.
Solve the following quadratic equation by factorisation:
x2 - 3x - 10 = 0
In each of the following, determine whether the given values are solution of the given equation or not:
x2 + x + 1 = 0; x = 0; x = 1
The difference between the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
A two digit number contains the bigger at ten’s place. The product of the digits is 27 and the difference between two digits is 6. Find the number.
The lengths of the parallel sides of a trapezium are (x + 9) cm and (2x – 3) cm and the distance between them is (x + 4) cm. If its area is 540 cm2, find x.
