Question

6. If 2x² = 1024, then x = ?
(1) 16 (2) 32 (3) 8 (4) 4​

Answer 1

$\large\sf\underline{Question\::}$

If $\sf\:2x^{2}=1024$ , then x = ?

Options :-‎

• 16 $\color{maroon}{\checkmark}$

• 32

• 8

• 4

‎

$\large\sf\underline{Answer\::}$

• The required value of x is $\large{\mathfrak\purple{16}}$ .

_________________________‎

$\large\bf\underline{Step\:wise\:calculation\::}$

$\sf\:2x^{2}=1024$

• Transposing square to other side it becomes √

$\sf\twoheadrightarrow\:2x=\sqrt{1024}$

• We know √1024 = √32 × 32 = 32

$\sf\twoheadrightarrow\:2x=32$

• Transposing 2 to the other side it goes to the denominator

$\sf\twoheadrightarrow\:x=\frac{32}{2 }$

• Reducing the fraction into the lower terms

$\sf\twoheadrightarrow\:x=\cancel{\frac{32}{2}}$

$\small{\underline{\boxed{\mathrm\red{\twoheadrightarrow\:x\:=\:16}}}}$ ★

‎ _________________________

Doing so we got the answer but I think there is some problem with the question . Since m not able to verify. So I suggest that please do check the question once. The correct question might be $\sf\:2x^{2}=\sqrt{1024}$ .

Do check once :D

!! Hope it helps !!