Advertisements
Advertisements
Question
Solve the following quadratic equations by factorization:
`7x + 3/x=35 3/5`
Advertisements
Solution
We have been given,
`7x + 3/x=35 3/5`
`7x^2+3/x=(35+3/5)x`
`7x^2-(35+3/5)x+3=0`
Therefore,
`7x^2-35x-3/5x+3=0`
`7x(x-5)-3/5(x-5)=0`
`(7x-3/5)(x-5)=0`
Therefore,
`7x-3/5=0`
`7x=3/5`
`x=3/35`
or,
x - 5 = 0
x = 5
Hence, `x=3/35` or x = 5.
APPEARS IN
RELATED QUESTIONS
Find the roots of the following quadratic equation by factorisation:
100x2 – 20x + 1 = 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+3)/(x+2)=(3x-7)/(2x-3)`
The difference of squares of two number is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers.
The hypotenuse of a right triangle is 25 cm. The difference between the lengths of the other two sides of the triangle is 5 cm. Find the lengths of these sides.
Solve the following quadratic equation by factorization:
`sqrt(6)x^2 - 4x - 2sqrt(6) = 0`
Solve the following quadratic equations by factorization:
`100/x-100/(x+5)=1`
If x = 1 is a common roots of the equations ax2 + ax + 3 = 0 and x2 + x + b = 0, then ab =
If one root the equation 2x2 + kx + 4 = 0 is 2, then the other root is
The hypotenuse of a grassy land in the shape of a right triangle is 1 m more than twice the shortest side. If the third side is 7m more than the shortest side, find the sides of the grassy land.
A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.
A two digit number is such that the product of the digits is 12. When 36 is added to this number the digits interchange their places. Determine the number.
In each of the following, determine whether the given values are solution of the given equation or not:
x2 - 3x + 2 = 0; x = 2, x = -1
The difference between the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
Find three successive even natural numbers, the sum of whose squares is 308.
A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 square metres, assuming the width of the walk to be x, form an equation in x and solve it to find the value of x.
The length of a rectangle exceeds its breadth by 5 m. If the breadth were doubled and the length reduced by 9 m, the area of the rectangle would have increased by 140 m². Find its dimensions.
The perimeter of a rectangular plot is 180 m and its area is 1800 m2. Take the length of the plot as x m. Use the perimeter 180 m to write the value of the breadth in terms of x. Use the values of length, breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
A dealer sells a toy for ₹ 24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.
If x = –2 is the common solution of quadratic equations ax2 + x – 3a = 0 and x2 + bx + b = 0, then find the value of a2b.
