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Answer the following question: Find the value of x if |14201-2-512x5x2| = 0 - Mathematics and Statistics

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Question

Answer the following question:

Find the value of x if

`|(1, 4, 20),(1, -2, -5),(1, 2x, 5x^2)|` = 0

Sum

Solution

`|(1, 4, 20),(1, -2, -5),(1, 2x, 5x^2)|` = 0

∴ 1(–10x² + 10x) – 4(5x² + 5) + 20(2x + 2) = 0

∴ –10x² + 10x – 20x² – 20 + 40x + 40 = 0

∴ – 30x² + 50x + 20 = 0

∴ 3x² – 5x – 2 = 0 ...[Dividing throughtout by (–10)]

∴ 3x² – 6x + x – 2 = 0

∴ 3x(x – 2) + 1(x – 2) = 0

∴ (x – 2) (3x + 1) = 0

∴ x – 2 = 0 or 3x + 1 = 0

∴ x = 2 or x = `-1/3`

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Definition and Expansion of Determinants

Is there an error in this question or solution?

Q II. (5) (i)Q II. (4) (ii)Q II. (5) (ii)

Chapter 4: Determinants and Matrices - Miscellaneous Exercise 4(A) [Page 76]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board

Chapter 4 Determinants and Matrices
Miscellaneous Exercise 4(A) | Q II. (5) (i) | Page 76

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