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प्रश्न
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संबंधित प्रश्न
The sum of the reciprocals of Rehman's ages, (in years) 3 years ago and 5 years from now is 1/3. Find his present age.
The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
Find the roots of the following quadratic equations (if they exist) by the method of completing the square.
`x^2-4sqrt2x+6=0`
`x^2-(sqrt2+1)x+sqrt2=0`
The sum of the areas of two squares is `640m^2` . If the difference in their perimeter be 64m, find the sides of the two square
The area of right-angled triangle is 96 sq meters. If the base is three time the altitude, find the base.
The area of right -angled triangle is 165 sq meters. Determine its base and altitude if the latter exceeds the former by 7 meters.
Solve the following quadratic equation by completing the square method.
x2 + x – 20 = 0
Solve the following quadratic equation by completing the square method.
x2 + 2x – 5 = 0
Solve the following quadratic equation by completing the square method.
5x2 = 4x + 7
Fill in the gaps and complete.
If α, β are roots of quadratic equation,
Find the value of discriminant.
`sqrt2x^2 + 4x + 2sqrt2 = 0`
Form the quadratic equation from the roots given below.
\[2 - \sqrt{5}, 2 + \sqrt{5}\]
The sum of the squares of two consecutive multiples of 7 is 637. Find the multiples.
The numerator of a fraction is 3 less than the denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and the original fraction is \[\frac{29}{20}\].Find the original fraction.
In a flight of 600 km, an aircraft was slowed due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of the flight increased by 30 minutes. Find the scheduled duration of the flight.
For solving the quadratic equations `"x"^2 + 8"x" =-15` by completing the square method, find the third term.
If p2x2 – q2 = 0, then x =?
Find the value of x, if `5^(x - 3) xx 5^(2x – 8)` = 625.
