Advertisements
Advertisements
Question
Mukund has ₹ 50 more than Sagar. If the product of the amount they have is 15,000, then find the amount each has
Solution
Let Sagar possesses ₹ x.
∴ The amount Mukund possesses = ₹ (x + 50)
According to the given condition, the product of the amount they have is ₹ 15,000.
∴ x(x + 50) = 15000
∴ x2 + 50x – 15000 = 0
| -15000 |
| 150 -100 |
| 150 × (-100) = -15000 |
| 150 - 100 = 50 |
∴ x2 + 150x – 100x – 15000 = 0
∴ x(x + 150) – 100(x + 150) = 0
∴ (x + 150)(x – 100) = 0
By using the property, if the product of two numbers is zero, then at least one of them is zero, we get
x + 150 = 0 or x – 100 = 0
∴ x = –150 or x = 100
But, amount cannot be negative.
∴ x = 100 and x + 50 = 100 + 50 = 150
∴ The amount possessed by Sagar and Mukund are `100 and `150 respectively.
APPEARS IN
RELATED QUESTIONS
If one root of the equation `2x^2+ax+6=0` 2 then a=?
(a)7 (b)-7 (c) 7/2 (d)-7/2
The roots of `ax^2+bx+c=0`,a≠0 are real and unequal, if `(b^2-4ac)` is
(a)>0 (b)=0 (c)<0 (d)none of these
The roots of the equation `2x^2-6x+3=0` are
(a) real, unequal and rational (b) real, unequal and irrational (c) real and equal (d) imaginary
Show that x= -2 is a solution of `3x^2+13x+14=0`
Find the solution of the quadratic equation `3sqrt3x^2+10x+sqrt3=0`
If the quadratic equation `px^2-2sqrt5px+15=0` has two equal roots then find the value of p.
Solve` 2x^2+ax-a^2=0`
Solve `4x^2+4bx-(a^2-b^2)=0`
Solve `x^2+5x-(a^2+a-6)=0`
Decide whether the following equation is quadratic equation or not.
\[x + \frac{1}{x} = - 2\]
Which one is the quadratic equation?
Choose the correct answer for the following question.
Out of the following equations which one is not a quadratic equation?
Choose the correct answer for the following question.
The roots of x2 + kx + k = 0 are real and equal, find k.
Choose the correct answer for the following question.
\[\sqrt{5} m^2 - \sqrt{5}m + \sqrt{5} = 0\] which of the following statement is true for this given equation?
is the following equation quadratic?
\[\left( x + 2 \right)^2 = 2 x^2\]
If 3x + 5y = 9 and 5x + 3y = 7 find the value of x + y.
Solve any two of the following.
Solve : `3x+y=14 ; x-y=2`
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water.
Solve for x : `1/(2a + b + 2x) =1/(2a) + 1/b + 1/(2x); x ≠ 0, x ≠ (−2a −b)/2`, a, b ≠ 0
