Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
25x(x + 1) = -4
Advertisements
उत्तर
We have been given
25x(x + 1) = -4
25x2 + 25x + 4 = 0
25x2 + 20x + 5x + 4 = 0
5x(5x + 4) + 1(5x + 4) = 0
(5x + 1)(5x + 4) = 0
Therefore,
5x + 1 = 0
5x = -1
x = -1/5
or,
5x + 4 = 0
5x = -4
x = -4/5
Hence, x = -1/5 or x = -4/5
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by factorization method : `x^2-5x+6=0`
Solve the following quadratic equation by factorization method: 9x2-25 = 0
In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects
Solve the following quadratic equations by factorization:
`(x-1)/(2x+1)+(2x+1)/(x-1)=5/2` , x ≠ -1/2, 1
The sum of a number and its reciprocal is 17/4. Find the number.
The sum of the squares two consecutive multiples of 7 is 1225. Find the multiples.
Determine whether the values given against the quadratic equation are the roots of the equation.
x2 + 4x – 5 = 0 , x = 1, –1
Solve the following quadratic equation by factorisation.
x2 + x – 20 = 0
Solve the following quadratic equation by factorization.
`2"x"^2 - 2"x" + 1/2 = 0`
Solve the following quadratic equations by factorization: \[\frac{2}{x + 1} + \frac{3}{2(x - 2)} = \frac{23}{5x}; x \neq 0, - 1, 2\]
If −5 is a root of the quadratic equation\[2 x^2 + px - 15 = 0\] and the quadratic equation \[p( x^2 + x) + k = 0\] has equal roots, find the value of k.
If the sum and product of the roots of the equation kx2 + 6x + 4k = 0 are real, then k =
If one of the equation x2 + ax + 3 = 0 is 1, then its other root is
Solve equation using factorisation method:
(2x – 3)2 = 49
Solve the following equation by factorization
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
Solve the following equation by factorization
`a/(ax - 1) + b/(bx - 1) = a + b, a + b ≠ 0, ab ≠ 0`
A school bus transported an excursion party to a picnic spot 150 km away. While returning, it was raining and the bus had to reduce its speed by 5 km/hr, and it took one hour longer to make the return trip. Find the time taken to return.
The speed of a boat in still water is 11 km/ hr. It can go 12 km up-stream and return downstream to the original point in 2 hours 45 minutes. Find the speed of the stream
Find the roots of the following quadratic equation by the factorisation method:
`2x^2 + 5/3x - 2 = 0`
