Advertisements
Advertisements
प्रश्न
If Ritu were younger by 5 years than what she really is, then the square of her age would have been 11 more than five times her present age. What is her present age?
उत्तर
Let the present age of Ritu be x years
(x − 5)2 = 5x + 11
x2 − 15x + 14 = 0½
(x − 14)(x − 1) = 0 ⇒ x = 1 or 14
x = 14 years ....(Rejecting x = 1 as in that case Ritu’s age 5 years ago will be – ve)
APPEARS IN
संबंधित प्रश्न
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers
`sqrt2x^3-3x-2sqrt2=0`
A farmer prepares rectangular vegetable garden of area 180 sq meters. With 39 meters of barbed wire, he can fence the three sides of the garden, leaving one of the longer sides unfenced. Find the dimensions of the garden.
The area of a right triangle is `600cm^2` . If the base of the triangle exceeds the altitude by 10 cm, find the dimensions of the triangle.
The area of right-angled triangle is 96 sq meters. If the base is three time the altitude, find the base.
Solve the following quadratic equation by completing the square method.
2y2 + 9y + 10 = 0
Fill in the gap and complete.
Form the quadratic equation from the roots given below.
\[\frac{1}{2}, - \frac{1}{2}\]
Form the quadratic equation from the roots given below.
\[2 - \sqrt{5}, 2 + \sqrt{5}\]
Solve the following quadratic equation by completing square: z2 + 4z - 7 = 0.
