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Problem 471

# Solve for $$x^{2}: 4 x^{2}-7=0$$

Expert verified
The short answer to solve for $$x^2$$ in the equation $$4x^2 - 7 = 0$$ is $$x^2 = \frac{7}{4}$$.
See the step by step solution

## Step 1: Isolate the $$x^2$$ term on one side of the equation

In order to isolate the $$x^2$$ term, we first need to move the constant value to the other side of the equation. We can do this by adding 7 to both sides of the equation: $4x^2 - 7 + 7 = 0 + 7$ This simplifies to: $4x^2 = 7$

## Step 2: Solve for $$x^2$$

Now that we have isolated the $$x^2$$ term, we can solve for its value by dividing both sides of the equation by 4: $\frac{4x^2}{4} = \frac{7}{4}$ This simplifies to: $x^2 = \frac{7}{4}$ So, the value of $$x^2$$ is $$\frac{7}{4}$$.

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