Question

1/2 x во 2степени=27

Answer 1

$\frac{1}{2} {x}^{2} = 27 \\ {x}^{2} = 27 \div \frac{1}{2} = 27 \times 2 \\ {x}^{2} = 54 \\ x = ± \sqrt{54}.$
Ответ : ± √54.

Удачи))))

Answer 2

To solve the equation $\frac{1}{2}x^2 = 27$, we need to isolate $x$ on one side of the equation. Here's how you can do it step by step:

Step 1: Multiply both sides by 2 to eliminate the fraction: $2 \times \frac{1}{2}x^2 = 2 \times 27$

This simplifies to: $x^2 = 54$

Step 2: Take the square root of both sides to solve for $x$: $\sqrt{x^2} = \sqrt{54}$

Remember that when taking the square root of an equation, we have to consider both the positive and negative square roots.

Step 3: Simplify the square root of 54: $x = \pm \sqrt{54}$

Step 4: Further simplify the square root of 54: $x = \pm \sqrt{9 \times 6}$

$x = \pm \sqrt{9} \times \sqrt{6}$

$x = \pm 3 \times \sqrt{6}$

So, the solutions for $x$ are $x = 3\sqrt{6}$ and $x = -3\sqrt{6}$.