Q3 of 168 Page 7

Determine whether x = √3 and x = —2√3 are solutions of the equation x2 – 3√3x + 6 = 0

Put both the values of x in the equation.


When x = √3


(√3)2 –3√3(√3) + 6 = 0


3 – (3)3 + 6


3 – 9 + 6


9 – 9


= 0


Therefore, it is the solution to the equation.


When x = –2√3


(–2√3)2 –3√3(–2√3) + 6 = 0


12 + 18 + 6


= 36


Therefore, it is not the solution to the equation.


More from this chapter

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1

Determine whether and are the solutions of the equation 6x2 — x — 12 = 0 or not.

 2

Determine whether (i) x = 1, (ii) x = 3 are the solutions of the equation x2 — 5x + 4 = 0 or not.

 4

For 2x2— 5x —3 = 0, determine which of the following are solutions?

(i) x = 3 (ii) x= –2


(iii) (iv)

5

Determine whether (i) x= √2, (ii) x = –2√2 are the solutions of the equation x2 + √2 x – 4 = 0 or not.