Question

Solve the equation by using the quadratic formula. List the solutions, separated by commas. x²−m−2=0.

a) x=21,−1/2
b) x=1,−2
c) x=2,−1/4
d) x=−1,1/2

Answer 1

To solve the equation x²−m−2=0 using the quadratic formula, we need to first identify the values of a, b, and c. Plugging these values into the quadratic formula, we get x = (m ± √(m²+8))/2. So the solutions for x are (m + √(m²+8))/2 and (m - √(m²+8))/2.

Step-by-step explanation:

To solve the equation x²−m−2=0 using the quadratic formula, we need to first identify the values of a, b, and c. In this equation, a=1, b=-m, and c=-2. Plugging these values into the quadratic formula, we get:

x = (-b ± √(b²-4ac))/(2a)

Substituting the values, we have:

x = (-(-m) ± √((-m)²-4(1)(-2)))/(2(1))

Simplifying further, we get:

x = (m ± √(m²+8))/2

So the solutions for x are (m + √(m²+8))/2 and (m - √(m²+8))/2.