Question

Use the quadratic formula to solve the equation: x2=x+3

Answer 1

Explanation:

To solve the quadratic equation x^2 = x + 3 using the quadratic formula, we first need to write the equation in standard form:

x^2 - x - 3 = 0

Then, we can identify the coefficients a, b, and c as follows:

a = 1, b = -1, c = -3

Now, we can plug these values into the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

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

Simplifying:

x = (1 ± √(1 + 12)) / 2

x = (1 ± √13) / 2

Therefore, the solutions for the quadratic equation x^2 = x + 3 using the quadratic formula are:

x = (1 + √13) / 2 or x = (1 - √13) / 2