Question

Which is a solution to (x - 2) (x + 10)= 13?
Ox=3
Ox=8
Ox=10
Ox=11

Answer 1

(x - 2)(x + 10) = 13

Expanding the equation:

x^2 + 10x - 2x - 20 = 13

Combine like terms:

x^2 + 8x - 20 = 13

Now, subtract 13 from both sides:

x^2 + 8x - 20 - 13 = 0

Simplify:

x^2 + 8x - 33 = 0

Now, you can use the quadratic formula to find the solutions for x:

x = (-b ± √(b² - 4ac)) / (2a)

In this equation, a = 1, b = 8, and c = -33. Plugging these values into the formula:

x = (-8 ± √(8² - 4 * 1 * (-33))) / (2 * 1)

x = (-8 ± √(64 + 132)) / 2

x = (-8 ± √196) / 2

x = (-8 ± 14) / 2

Now, you have two potential solutions:

1. x = (-8 + 14) / 2 = 6 / 2 = 3
2. x = (-8 - 14) / 2 = -22 / 2 = -11

So, the solutions to the equation are x = 3 and x = -11.