Math, asked by Cars2, 1 year ago

Quadratic or not (x – 3)(2x + 1) = x(x + 5)????

Answers

Answered by Khushi0511
2
Consider LHS: (x – 3)(2x + 1)

=)2x2 + x – 6x – 6

=)2x2 – 5x – 6

Now, consider RHS: x(x + 5)

=) x2 + 5x
Now; 2x2 – 5x – 6 = x2 + 5x
=) 2x2 – 5x – 6 – x2 – 5x = 0

=)x2 – 10x – 6 = 0

Since the equation is in the form of ax2 + bx + c = 0; hence it is a quadratic equation...


Hope it helps ..
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Cars2: ya ye shi h?
perfectstormswift: How is -3 * 1 = -6?
Answered by perfectstormswift
3
If you solve the equation, you get:

(x – 3)(2x + 1) = x(x + 5)
⇒ 2x² + x  - 6x - 3= x² + 5x
⇒ 2x² - x² + x - 5x - 6x -3 = 0
⇒ x² - 10x - 3= 0

Since the highest degree of the above polynomial is 2, yes it is a quadratic equation. 
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