Advertisements
Advertisements
प्रश्न
Divide 29 into two parts so that the sum of the square of the parts is 425.
Advertisements
उत्तर
Let the parts be x and 29 - x
According to the problem
x2 + (29 - x)2 = 425
⇒ x2 + 841 + x2 - 58x - 425 = 0
⇒ 2x2 - 58x + 416 = 0
⇒ x2 - 29x + 208 = 0
⇒ x2 - 16x - 13x + 208 = 0
⇒ x(x - 16) - 13(x - 16) = 0
⇒ (x - 16) (x - 13) = 0
⇒ x - 16 = 0 or x - 13 = 0
⇒ x = 16 or x = 13
When x = 16 When x = 13
Then 29 - x = 13 Then 29 - x = 16
Hence, the parts are 16 and 13.
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(x+3)/(x+2)=(3x-7)/(2x-3)`
An aeroplane take 1 hour less for a journey of 1200 km if its speed is increased by 100 km/hr from its usual speed. Find its usual speed.
Rs. 9000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs. 160 less. Find the original number of persons.
Find the two consecutive positive even integers whose product is 288.
The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm2, find the hypotenuse.
Solve equation using factorisation method:
`5/("x" -2) - 3/("x" + 6) = 4/"x"`
In each of the following determine whether the given values are solutions of the equation or not.
3x2 - 2x - 1 = 0; x = 1
In each of the following, determine whether the given values are solution of the given equation or not:
`x^2 - sqrt(2) - 4 = 0; x = -sqrt(2), x = -2sqrt(2)`
Solve the following equation by factorization
`(2)/(x^2) - (5)/x + 2 = 0, x ≠ 0`
A rectangle of area 105 cm² has its length equal to x cm. Write down its breadth in terms of x. Given that the perimeter is 44 cm, write down an equation in x and solve it to determine the dimensions of the rectangle.
