Advertisements
Advertisements
प्रश्न
Fill in the gap and complete.
उत्तर
If \[\alpha \text{ and } \beta\] re the roots of the quadratic equation then the quadratic equation can be written as \[x^2 - \left( \alpha + \beta \right)x + \alpha\beta = 0\]
So, the quadratic equation with sum of roots as \[x^2 + 7x + 5 = 0\]
APPEARS IN
संबंधित प्रश्न
Find the roots of the following quadratic equations, if they exist, by the method of completing the square 2x2 – 7x + 3 = 0
Find the roots of the following equations:
`x-1/x = 3, x ≠ 0`
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
Find the roots of the following quadratic equations (if they exist) by the method of completing the square.
`sqrt2x^2-3x-2sqrt2=0`
Find the roots of the following quadratic equations (if they exist) by the method of completing the square.
`x^2-(sqrt2+1)x+sqrt2=0`
`5x^2-6x-2=0`
`2/x^2-5/x+2=0`
By using the method of completing the square, show that the equation `2x^2+x+4=0` has no real roots.
Fill in the gaps and complete.
Find the value of discriminant.
x2 + 7x – 1 = 0
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.
A motor boat whose speed in still water is 18 km/hr takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
Sum of the area of two squares is 400 cm2. If the difference of their perimeters is 16 cm, find the sides of two squares.
The sum of the areas of two squares is 400 sq.m. If the difference between their perimeters is 16 m, find the sides of two squares.
One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Their present ages are:
The value of `sqrt(6 + sqrt(6 + sqrt(6 ....)))`
If p2x2 – q2 = 0, then x =?
Find the value of x, if 3x – 7 × 4x – 4 = 768.
The ratio of two numbers is 3:2 and the difference of their square is 500. Find the numbers.
