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 digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.
The speed of a boat in still water is 8 km/hr. It can go 15 km upstream and 22 km downstream in 5 hours. Find the speed of the stream.
Find the two consecutive positive even integers whose product is 288.
The sum of two natural numbers is 20 while their difference is 4. Find the numbers.
Solve the following equation by factorization
21x2 – 8x – 4 = 0
Solve the following equation by factorization:
`x^2 - (1 + sqrt(2))x + sqrt(2) = 0`
A rectangle of area 105 cm² has its length equal to x cm. Write down its breadth in terms of x. Given that the perimeter is 44 cm, write down an equation in x and solve it to determine the dimensions of the rectangle.
Solve the following equation by factorisation :
x(x + 1) + (x + 2)(x + 3) = 42
Find the roots of the quadratic equation x2 – x – 2 = 0.
Using quadratic formula find the value of x.
p2x2 + (p2 – q2)x – q2 = 0
