Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
6x2 + 7x - 10 = 0
Advertisements
उत्तर
6x2 + 7x - 10 = 0
a = 6 ; b = 7 ; c = -10
D = b2 - 4ac
= (7)2 - 4(6)(-10)
= 49 + 240
= 289
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-7 +- sqrt 289)/12`
APPEARS IN
संबंधित प्रश्न
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.
Solve each of the following equations by factorization:
`9/2x=5+x^2`
Solve the following quadratic equations by factorization: \[\sqrt{3} x^2 - 2\sqrt{2}x - 2\sqrt{3} = 0\]
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 + px + 3 = 0\]
Solve the following equation: `10"x" - 1/"x" = 3`
By increasing the speed of a car by 10 km/hr, the time of journey for a distance of 72 km. is reduced by 36 minutes. Find the original speed of the car.
Car A travels x km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
If car A use 4 litre of petrol more than car B in covering the 400 km, write down and equation in x and solve it to determine the number of litre of petrol used by car B for the journey.
In each of the following, determine whether the given values are solution of the given equation or not:
2x2 - x + 9 = x2 + 4x + 3; x = 2, x = 3
At an annual function of a school, each student gives the gift to every other student. If the number of gifts is 1980, find the number of students.
Solve the following quadratic equation by factorisation method:
x2 + x – 20 = 0
