Question

Solve the quadratic equation numerically (using tables of x- and y- values ). x squared minus 3 = 2 x

a. x = -1 or x = 3
b. x = 2 or x = -3
c. x = -3 or x = -3
d. x =1 or x = -1

Answer 1

To solve the quadratic equation x² - 3 = 2x, we rearrange it to standard form and use the quadratic formula, resulting in the solutions x = 3 or x = -1.

Step-by-step explanation:

To solve the quadratic equation x² - 3 = 2x numerically, we need to first rewrite the equation in standard form, which is ax² + bx + c = 0. We do this by subtracting 2x from both sides of the equation, which gives us x² - 2x - 3 = 0. Now we can apply the quadratic formula -b ± √b² - 4ac / 2a to find the values of x. Here, a = 1, b = -2, and c = -3. Plugging these values into the formula, we get:

x = (-(-2) ± √((-2)² - 4*1*(-3))) / (2*1)

x = (2 ± √(4 + 12)) / 2

x = (2 ± √16) / 2

x = (2 ± 4) / 2

Which gives us two solutions:

x = (2 + 4) / 2 → x = 3

and

x = (2 - 4) / 2 → x = -1

Therefore, the solutions to the equation are x = 3 or x = -1.