Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
(2x + 3)(3x − 7) = 0
Advertisements
उत्तर
We have,
(2x + 3)(3x − 7) = 0
⇒ (2x + 3) = 0 or (3x − 7) = 0
⇒ 2x = -3 or 3x = 7
⇒ x = -3/2 or x = 7/3
Thus, x = -3/2 and x = 7/3 are two roots of the equation (2x + 3)(3x − 7) = 0
APPEARS IN
संबंधित प्रश्न
Find x in terms of a, b and c: `a/(x-a)+b/(x-b)=(2c)/(x-c)`
Find the roots of the following quadratic equation by factorisation:
2x2 + x – 6 = 0
Solve the following quadratic equations by factorization:
(a + b)2x2 - 4abx - (a - b)2 = 0
The product of two successive integral multiples of 5 is 300. Determine the multiples.
The difference of two numbers is 4. If the difference of their reciprocals is 4/21. Find the numbers.
Two number differ by 4 and their product is 192. Find the numbers?
Two pipes running together can fill a tank in `11 1/9` minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately.
`x^2-6x+3=0`
Solve the given quadratic equation for x : 9x2 – 9(a + b)x + (2a2 + 5ab + 2b2) = 0 ?
Solve the following quadratic equation by factorization.
`2"x"^2 - 2"x" + 1/2 = 0`
Solve the following quadratic equations by factorization: \[\frac{3}{x + 1} + \frac{4}{x - 1} = \frac{29}{4x - 1}; x \neq 1, - 1, \frac{1}{4}\]
Solve the following equation: a2b2x2 + b2x - a2x - 1 = 0
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
The area of the isosceles triangle is 60 cm2, and the length of each one of its equal side is 13cm. Find its base.
Solve equation using factorisation method:
`5/("x" -2) - 3/("x" + 6) = 4/"x"`
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.
Solve the following equation by factorization
`4sqrt(3)x^2 + 5x - 2sqrt(3)` = 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.
The hotel bill for a number of people for an overnight stay is Rs. 4800. If there were 4 more, the bill each person had to pay would have reduced by Rs. 200. Find the number of people staying overnight.
