Advertisements
Advertisements
प्रश्न
Solve `x^2-(sqrt3+1)x+sqrt3=0`
उत्तर
`x^2-(sqrt3+1)x+sqrt3=0`
⇒ `x^2-sqrt3x-x+sqrt3=0`
⇒`x(x-sqrt3)-1(x-sqrt3)=0`
⇒` (x-sqrt3) (x-1)=0`
⇒`x-sqrt3=0 or x-1=0`
⇒` x=sqrt3 or x=1`
Hence, `1 and sqrt3` are the roots of the given equation.
APPEARS IN
संबंधित प्रश्न
A train covers a distance of 300 km at a uniform speed. If the speed of the train is increased by 5 km/hour, it takes 2 hours less in the journey. Find the original speed of the train
If the roots of` 5x^2-k+1=0` are real and distinct then
(a)`-2sqrt5<k2<sqrt5` (b)` k>2sqrt5 ` only
(c)` k<-2sqrt5` (d) either `k>2sqrt5 or k<-2sqrt5`
Show the x= -3 is a solution of `x^2+6x+9=0`
If the quadratic equation `px^2-2sqrt5px+15=0` has two equal roots then find the value of p.
Find the value of k for which the quadratic equation `9x^2-3kx+k=0` has equal roots.
The total cost of a certain length of a piece of cloth is Rs 200. If the piece was 5 m longer and each metre of cloth costs Rs 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per metre ?
Choose the correct answer for the following question.
Out of the following equations, find the equation having the sum of its roots –5.
Choose the correct answer for the following question.
One of the roots of equation x2 + mx – 5 = 0 is 2; find m.
Which of the following is a quadratic equation ?
When the son will be as old as his father today, the sum of their ages then will be 126 years. when the father was as old his son is today. The sum of their ages was 38 years. Find their presents ages.
