Advertisements
Advertisements
Question
Solve the following quadratic equation using formula method only
x2 - 6x + 4 = 0
Advertisements
Solution
x2 - 6x + 4 = 0
a = 1 ; b = - 6 ; c = 4
D = b2 - 4ac
= (-6)2 - 4(1)(4)
= 36 - 16
= 20
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(6 +- sqrt 20)/2`
x = `(6 +2 sqrt 5)/2` , x = `(6 - 2 sqrt 5)/2`
x = `3 + sqrt 5` , x = `3 - sqrt 5`
APPEARS IN
RELATED QUESTIONS
The sum of the squares of two numbers as 233 and one of the numbers as 3 less than twice the other number find the numbers.
Two natural number differ by 3 and their product is 504. Find the numbers.
Solve the following quadratic equation by factorisation.
2m (m − 24) = 50
The sum of two natural numbers is 20 while their difference is 4. Find the numbers.
Solve the following quadratic equations by factorization:
\[\frac{3}{x + 1} + \frac{4}{x - 1} = \frac{29}{4x - 1}; x \neq 1, -1, \frac{1}{4}\]
If the equation x2 − ax + 1 = 0 has two distinct roots, then
If x = 1 is a common root of ax2 + ax + 2 = 0 and x2 + x + b = 0, then, ab =
Solve the following equation : x2 + 2ab = (2a + b)x
Find three successive even natural numbers, the sum of whose squares is 308.
In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m2 [see figure]. Find the length and breadth of the pond.
