Q5 of 168 Page 7

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

Put x = √2


(√2)2 + √2(√2) – 4 = 0


2 + 2 – 4


4 – 4


= 0


Therefore, it is the solution to the equation.


When x = –2√2


(–2√2)2 + √2(–2√2) – 4 = 0


8 – 4 – 4


= 0


Therefore, it is the solution to the equation.


More from this chapter

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3

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

 4

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

(i) x = 3 (ii) x= –2


(iii) (iv)

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Show that x = — 3 is a solution of x2 + 6x + 9 = 0.

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Show that x = — 3 is a solution of 2x2 + 5x –3 = 0.