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.

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