Question

Solve the equation.

Answer 1

c = 7 and c = -1

Explanation:

this is a quadratic equation and can be solved by finding factors of 7 that add or subtract to give you -6

options are:

-7 and 1; this will work

7 and -1; this will not work because the sum would be +6

therefore, the factors are (c - 7)(c + 1) = 0

c - 7 = 0; c = 7

c + 1 = 0; c = -1

Answer 2

Answer: c = -1, 7

Explanation:

We can factor this given equation to solve for c.

Given:

c² - 6c - 7 = 0

Factor:

➜ -7 and 1 multiply to -7 and add to -6

(c - 7)(c + 1) = 0

Solve:

c - 7 = 0 c + 1 = 0

Isolate c:

c = 7 c = -1

c = -1, 7