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Solve` 2x^2+Ax-a^2=0` - Mathematics

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प्रश्न

Solve` 2x^2+ax-a^2=0`

उत्तर

`2x^2+ax-a^2=0` 

⇒`2x^2+2ax-ax-a^2` 

⇒`2x(x+a)-a(x+a)=0` 

⇒`(x+a)(2x-a)=0` 

⇒`x+a=0  or  2x-a=0` 

⇒`x=-a  or  x=a/2` 

Hence, `a and a/2` 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 47

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If the roots of the equation` ax^2+bx+c=0` are equal then c=?   

(a)`b/(2a)`   (b) `b/(2a)`  (c) `-b^2/(4a)`  (d) `B^2/(4a)`


The length of a rectangular field exceeds its breadth by 8 m and the area of the field is `240 m^2` . The breadth of the field is

(a) 20 m (b) 30 m (c) 12 m (d) 16 m


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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.

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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`

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


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