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Find which of the following equations are quadratic: (3x – 1)2 = 5(x + 8) - Mathematics

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Question

Find which of the following equations are quadratic:

(3x – 1)2 = 5(x + 8)

Sum

Solution

(3x – 1)2 = 5(x + 8)

`\implies` (9x2 – 6x + 1) = 5x + 40

9x2 – 6x – 5x + 1 – 40 = 0

∴ 9x2 – 11x – 39 = 0; which is of the form ax2 + bx + c = 0.

∴ Given equation is a quadratic equation.

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Chapter 5: Quadratic Equations - Exercise 5 (A) [Page 54]

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Selina Mathematics [English] Class 10 ICSE
Chapter 5 Quadratic Equations
Exercise 5 (A) | Q 1.1 | Page 54
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