Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
x2 - 6x + 4 = 0
Advertisements
उत्तर
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
संबंधित प्रश्न
The sum of the squares of three consecutive natural numbers as 149. Find the numbers
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.
Solve:
(a + b)2x2 – (a + b)x – 6 = 0; a + b ≠ 0
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:
x2 – (m + 2)x + (m + 5) = 0
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
Solve the following quadratic equation by factorisation.
`sqrt2 x^2 + 7x + 5sqrt2 = 0` to solve this quadratic equation by factorisation, complete the following activity.
`sqrt2 x^2 + 7x + 5sqrt2 = 0`
`sqrt2x^2+square+square+5sqrt2=0`
`x("______") + sqrt2 ("______") = 0`
`("______") (x + sqrt2) = 0`
`("______") = 0 or (x + sqrt2) = 0`
∴ x = `square or x = -sqrt2`
∴ `square` and `-sqrt(2)` are roots of the equation.
Solve the equation:
`6(x^2 + (1)/x^2) -25 (x - 1/x) + 12 = 0`.
Mohini wishes to fit three rods together in the shape of a right triangle. If the hypotenuse is 2 cm longer than the base and 4 cm longer than the shortest side, find the lengths of the rods.
A wire ; 112 cm long is bent to form a right angled triangle. If the hypotenuse is 50 cm long, find the area of the triangle.
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.
