Advertisements
Advertisements
प्रश्न
Divide 57 into two parts whose product is 680.
Advertisements
उत्तर
Let the two parts be x and (57-x)
According to the given condition,
`x(57-x)=680`
⇒`57x-x^2=680`
⇒`x^2-57x+680=0`
⇒`x^2-40x-17x+680=0`
⇒`x(x-40)-17(x-40)=0`
⇒`(x-40) (x-17)=0`
⇒`x-40=0 or x-17=0`
⇒`x=40 or x=17`
When `x=40`
`57-x=57-40=17`
When` x=17`
`57-x=57-17=40`
Hence, the required parts are 17 and 40.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation for x:
`x^2+(a/(a+b)+(a+b)/a)x+1=0`
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.
A passenger train takes 2 hours less for a journey of 300 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
The product of Shikha's age five years ago and her age 8 years later is 30, her age at both times being given in years. Find her present age.
If the list price of a toy is reduced by Rs. 2, a person can buy 2 toys more for Rs. 360. Find the original price of the toy.
Solve:
x(x + 1) + (x + 2)(x + 3) = 42
`3x^2-x-2=0`
The sum of the squares two consecutive multiples of 7 is 1225. Find the multiples.
Find the value of k for which the following equations have real and equal roots:
\[x^2 + k\left( 2x + k - 1 \right) + 2 = 0\]
Write the set of value of k for which the quadratic equations has 2x2 + kx − 8 = 0 has real roots.
If ax2 + bx + c = 0 has equal roots, then c =
Solve equation using factorisation method:
x(x – 5) = 24
Solve equation using factorisation method:
`x + 1/x = 2.5`
Solve the equation 2x `-(1)/x` = 7. Write your answer correct to two decimal places.
Solve the following equation by factorization
x2 – 3x – 10 = 0
Harish made a rectangular garden, with its length 5 metres more than its width. The next year, he increased the length by 3 metres and decreased the width by 2 metres. If the area of the second garden was 119 sq m, was the second garden larger or smaller ?
In a P.T. display, 480 students are arranged in rows and columns. If there are 4 more students in each row than the number of rows, find the number of students in each row.
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.
Find the roots of the following quadratic equation by the factorisation method:
`2x^2 + 5/3x - 2 = 0`
Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.
