Question

If x=k √2 be a solution of the quadratic x + √2x-4=0, then k = (c) 2 (b) - 2 (a) - 1 (d) 4

Answer 1

Answer:

The answer is (b) - 2

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Answer 2

Answer:

(b) -2

Step-by-step explanation:

Solve given quadratic :

x = $\frac{-\sqrt{2} +- \sqrt{18} }{2}$

you get

x = $\frac{-\sqrt{2}+3\sqrt{2} }{2}$  OR x = $\frac{-\sqrt{2}-3\sqrt{2} }{2}$

simplifying

x=$\frac{2\sqrt{2} }{2} = 1\sqrt{2}$  OR x = $\frac{-4\sqrt{2} }{2} = -2\sqrt{2}$

By comparing,

k = 1  OR k = -2.

Hence option (b) is correct