Question

Solve d = √(x² - 3x + 4)

Answer 1

To solve the equation d = √(x² - 3x + 4), isolate x by using the quadratic formula.

Step-by-step explanation:

To solve the equation d = √(x² - 3x + 4), we need to isolate x. Here are the steps:

1. Start with the equation d = √(x² - 3x + 4).
2. Square both sides of the equation to eliminate the square root: d² = x² - 3x + 4.
3. Rearrange the equation to isolate x: x² - 3x + 4 - d² = 0.
4. This is now a quadratic equation in the form ax² + bx + c = 0, where a = 1, b = -3, and c = 4 - d².
5. Use the quadratic formula to solve for x: x = (-b ± √(b² - 4ac)) / (2a).
6. Substitute the values of a, b, and c from step 4 into the quadratic formula and simplify.

By following these steps, you can find the values of x that satisfy the equation d = √(x² - 3x + 4).