Q. 114.5( 4 Votes )

# Find the integral value of x, if

Answer :

Expanding along the first row

= x2(2×4 – 1×1) – x(0×4 – 1×3) + 1(0×1 – 2×3)

= x2(8 – 1) – x(0 – 3) + 1(0 – 6)

= 7x2 + 3x –6

Also |A| = 28

7x2 + 3x – 6 =28

7x2 + 3x – 34 = 0

7x2 + 17x – 14x – 34 = 0

x(7x+ 17) – 2(7x +17) = 0

(x–2)(7x +17) = 0

Integer value of x is 2.

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