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

User Lobianco
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Answer:

The solutions to this quadratic equation are 10 and 3.

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

User Skamazin
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