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