1.

If 3 is a solution of 3x²-(k-1)x +18=0,Then the value of 'k' is

Answer»

To Find : --

  • We need to find the VALUE of k.

SOLUTION : --

  • 3 is a Solution of 3x²-(k-1)x +18

So,

  • x = 3

››➔ 3x² - (k - 1)x + 18 = 0

››➔ 3 × 3² - (k - 1) × 3 + 18 = 0

››➔ 3 × 9 - 3k + 3 + 18 = 0

››➔ 27 - 3k + 21 = 0

››➔ - 3k = -48

››➔ k = -48/-3

››➔ k = 16

Hence,

  • Value of k = 16

Verification :-

›› 3x² - (k - 1)x + 18

›› 3x² -(16 - 1)x + 18

›› 3x² - 15x + 18

›› 3x² - 9x - 6x + 18

›› 3x(x - 3) - 6(x - 3)

›› (3x - 6) or (x - 3)

›› x = 2 or x = 3

Hence we get Solution (x = 3) of the given equation that is given in the Question .

HENCE VERIFIED

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