The correct option is B {1, 9} Given equation is 2√(x) = x 3 #160;By squaring on both sides of equation, we get #160; 4x = x^2 6x +9 ...

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Manipulation of a linear equation

Solve for x...

Question

Solve for $x$ :
$2 \sqrt{x} = x - 3$

{- 1, 9}

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{1, - 9}

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{9}

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{1, 9}

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Solution

The correct option is B ${1, 9}$
Given equation is $2 \sqrt{x} = x - 3$
By squaring on both sides of equation, we get
$4 x = x^{2} - 6 x + 9$
$\Rightarrow$ $x^{2} - 10 x + 9 = 0$
Now the above equation can be solved for $x$ by writing equation as $(x - 9) (x - 1) = 0$ .
Therefore, solutions are ${1, 9}$ .

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