Question

Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.

Answer 1

Answer:

The solutions to this quadratic equation are 10 and 3.

Step-by-step explanation:

1. Let's recall the formula for solving this type of equations, called quadratic equations:

 x = ( - b +/- √ b² - 4ac)/ 2a

The equation given is  x2 – 13x + 30 = 0,

where a = 1, b = - 13 and c = 30

Now replacing with the real values, we have

x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1

x = [ 13 +/- √ 169 - 120] / 2

x = [13 +/- √ 49]/ 2

x = [ 13 +/- 7 ]/ 2

x₁ = 13 + 7/2 = 20/2 = 10

x₂ = 13 - 7/2 = 6/2 = 3