Advertisements
Advertisements
प्रश्न
`100x^2-20x+1=0`
उत्तर
We write, `-20x=-10x-10x as 100x^2 xx1=100x^2=(-10x)xx(-10x)`
`∴100x^2-20x+1=0`
⇒`100x^2-10x-10x+1`
⇒`10x(10x-1)-1(10x-1)=0`
⇒` (10x-1) (10x-1)=0`
⇒` (10x-1)^2`
⇒` 10x-1=0`
⇒`x=1/10`
Hence, `1/10` is the repeated root of the given equation.
APPEARS IN
संबंधित प्रश्न
Check whether the following is quadratic equation or not.
`sqrt(3x^2)-2x+1/2=0`
In the following, determine whether the given values are solutions of the given equation or not:
a2x2 - 3abx + 2b2 = 0, `x=a/b`, `x=b/a`
4(2x – 3)² – (2x – 3) – 14 = 0
If x = 2/3 is a solution of the quadratic equation 7x2+mx – 3=0; Find the value of m.
Solve `((3x + 1)/(x + 1)) + ((x + 1)/(3x + 1)) = 5/2`
Solve `x + 4/x = -4; x != 0`
Solve the following equation using the formula:
x2 + 2x – 6 = 0
Solve the following equation using the formula:
`(x - 1)/(x - 2) + (x - 3)/(x - 4) = 3 1/3`
Solve the following equation by using formula :
x2 + (4 – 3a)x – 12a = 0
Which of the following is not a quadratic equation?