0.7*x^2=1.3+2

To solve the equation \(0.7x^2 = 1.3 + 2\), first simplify the right side:

\[ 1.3 + 2 = 3.3 \]

Now, rewrite the equation:

\[ 0.7x^2 = 3.3 \]

Next, divide both sides by 0.7 to isolate \(x^2\):

\[ x^2 = \frac{3.3}{0.7} \]

Calculating the division:

\[ x^2 = 4.714285714285714 \text{ (or approximately } 4.71\text{)} \]

Now, to find \(x\), take the square root of both sides:

\[ x = \sqrt{4.714285714285714} \quad \text{or} \quad x = -\sqrt{4.714285714285714} \]

Calculating the square root gives us:

\[ x \approx 2.173 \quad \text{or} \quad x \approx -2.173 \]

Therefore, the solutions to the equation \(0.7x^2 = 1.3 + 2\) are:

\[ x \approx 2.173 \quad \text{and} \quad x \approx -2.173 \]