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
Solve the following quadratic equation by factorization method : `x^2-5x+6=0`
Solve the following quadratic equations by factorization:
48x2 − 13x − 1 = 0
A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hour more, it would have taken 30 minutes less for a journey. Find the original speed of the train.
A pole has to be erected at a point on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?
Solve the following equation: 3x2 + 25 x + 42 = 0
In each of the following determine whether the given values are solutions of the equation or not.
x2 + x + 1 = 0; x = 1, x = -1.
Solve the following equation by factorization
x2 – 3x – 10 = 0
Solve the following equation by factorization
x2 – (p + q)x + pq = 0
The hypotenuse of grassy land in the shape of a right triangle is 1 metre more than twice the shortest side. If the third side is 7 metres more than the shortest side, find the sides of the grassy land.
For equation `1/x + 1/(x - 5) = 3/10`; one value of x is ______.
