Advertisements
Advertisements
Question
Solve the following : `("x" - 1/2)^2 = 4`
Advertisements
Solution
`("x" - 1/2)^2 = 4`
`"x"^2 - "x" + 1/4 = 4`
`"x"^2 - "x" - 15/4 = 0`
`"x"^2 + 3/2 "x" - 5/2 "x" - 15/4 = 0`
`"x" ("x" + 3/2) - 5/2 ("x" + 3/2) = 0`
`("x" + 3/2)("x" - 5/2) = 0`
x = `-3/2` , x = `5/2`
APPEARS IN
RELATED QUESTIONS
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.
Ashu is x years old while his mother Mrs Veena is x2 years old. Five years hence Mrs Veena will be three times old as Ashu. Find their present ages.
Solve equation using factorisation method:
`2x^2 - 1/2x = 0`
Solve equation using factorisation method:
`4/(x + 2) - 1/(x + 3) = 4/(2x + 1)`
Find two consecutive positive even integers whose squares have the sum 340.
Solve the following quadratic equation by factorisation:
2x2 + ax - a2 = 0 where a ∈ R.
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
Solve the following equation by factorisation :
3x2 + 11x + 10 = 0
If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now?
The roots of the equation x2 + 3x – 10 = 0 are ______.
