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Solve `Sqrt3x^2+10x-8sqrt3=0` - Mathematics

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प्रश्न

Solve `sqrt3x^2+10x-8sqrt3=0`

उत्तर

`sqrt3x^2+10x-8sqrt3=0` 

⇒ `sqrt3x^2+12x-2x-8sqrt3=0` 

⇒`sqrt3x(x+4sqrt3)-2(x+4sqrt3)=0` 

⇒`(x+4sqrt3) (sqrt3x-2)=0` 

⇒`x+4sqrt3=0  or  sqrt3x-2=0` 

⇒`x=-4sqrt3  or  x=2/sqrt3=(2sqrt3)/3` 

Hence, `-4sqrt3` and `(2sqrt3)/3` are the roots of the given equation. 

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पाठ 10: Quadratic Equations - Exercises 6

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 10 Quadratic Equations
Exercises 6 | Q 49

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संबंधित प्रश्‍न

Which of the following is a quadratic equation? 

(a) `x^3-3sqrtx+2=0`                  (b) `x+1/x=x^2` 

(c)` x^2+1/x^2=5`                      (d) `2x^2-5x=(x-1)^2`


If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` write the other zero. 

 

 


Solve` 4sqrt3x^2+5x-2sqrt3=0`


A tank fills completely in 2 hours if both the taps are open. If only one of the taps is open at the given time, the smaller tap takes 3 hours more than the larger one to fill the tank. How much time does each tap take to fill the tank completely?


Solve the following quadratic equation.

\[x^2 - \frac{3x}{10} - \frac{1}{10} = 0\]


Select the correct alternative and write it.        

What is the solution of the quadratic equation ` 2x^2-7x+6=0`


For the quadratic equation x2 + 10x – 7 = 0, the value of a, b, c are ______.


In an orchard there are total 200 trees. If the number of trees in each column is more by 10 than the number of trees in each row, then find the number of trees in each row


The ratio of fruit trees and vegetable trees in an orchard is 3:4. If 6 more trees of each type are planted, the ratio of trees would be 6:7. Find the number of fruit trees and vegetable trees in the orchard.

The ratio of fruit trees and vegetable trees = 3:4

So, let the number of fruit trees= 3x and the number of vegetable trees = `square` 

From the given condition,

`(3x + square)/(square + square) = square/square`

`square (3x + square) = square (square + square)`

`square + square = square + square`

`square - square = square - square`

`- square = - square`

`square = square`

x = `square`

∴ Number of fruit trees in the orchard = 3x = 3 × `square` = `square` and number of vegetable trees in the orchard = 4x = 4 × `square` = `square`

Hence, the number of fruit trees and vegetable trees in the orchard are `square` and `square` respectively.


A tank can be filled up by two taps in 6 hours. The smaller tap alone takes 5 hours more than the bigger tap alone. Find the time required by each tap to fill the tank separately.


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