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Solve the following equation using the formula: 115x2+53=23x - Mathematics

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Question

Solve the following equation using the formula: 

`1/15x^2 + 5/3 = 2/3x` 

Sum

Solution

`1/15x^2 + 5/3 = 2/3x` 

`=>` x2 + 25 = 10x 

`=>` x2 – 10x + 25 = 0 

Here a = 1, b = −10 and c = 25 

Then `x = (-b +- sqrt(b^2 - 4ac))/(2a)` 

= `(-(-10) +- sqrt((-10)^2 - 4(1)(25)))/(2(1))` 

= `(10 +- sqrt(0))/2`

= 5  

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Chapter 5: Quadratic Equations - Exercise 5 (D) [Page 64]

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 5 Quadratic Equations
Exercise 5 (D) | Q 1.08 | Page 64
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