The number $x$ was multiplied by $0.5$ and the product divided by $3$ . The result was squared and $1$ added to it. The final result was $50$ . What was the value of number $x$ ?

42

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30

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24

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18

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Solution

The correct option is D $42$
According to the question :
$\Rightarrow [\frac{0.5 x}{3}]^{2} + 1 = 50$
$\Rightarrow [\frac{0.25 x^{2}}{9}] + 1 = 50$
$\Rightarrow 0.25 x^{2} + 9 = 50 \times 9$
$\Rightarrow 0.25 x^{2} = 450 - 9$
$\Rightarrow x^{2} = \frac{441}{0.25}$
$x^{2} = 1764$
$x = \pm \sqrt{1764}$
$x = \pm 42$
The value of number x is $42.$

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The number x was multiplied by 0.5 and the product divided by 3. The result was squared and 1 added to it. The final result was 50. What was the value of number x?

The correct option is D 42According to the question :⇒[0.5x3]2+1=50⇒[0.25x29]+1=50⇒0.25x2+9=50×9⇒0.25x2=450−9⇒x2=4410.25x2=1764x=±√1764x=±42The value of number x is 42.

The number $x$ was multiplied by $0.5$ and the product divided by $3$ . The result was squared and $1$ added to it. The final result was $50$ . What was the value of number $x$ ?