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Solve the following equation using the formula: x2 – 6x = 27 - Mathematics

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Question

Solve the following equation using the formula:

x2 – 6x = 27

Sum

Solution

x2 – 6x = 27

`=>` x2 – 6x – 27 = 0

Here a = 1, b = – 6 and c = – 27

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

= `(-(-6) +- sqrt((-6)^2 - 4(1)(-27)))/(2(1))`

= `(6 +- 12)/2`

= `(6 +12)/2` and `(6 - 12)/2`

= 9 and –3 

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

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Selina Mathematics [English] Class 10 ICSE
Chapter 5 Quadratic Equations
Exercise 5 (D) | Q 1.01 | Page 64
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