Question

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.

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x= 4 or x = 3
x= -4 or x = -3
x = -3 or x = 4
x = 3 or x = 4

Answer 1

x = 3 or x = 4

Explanation:

Given

x² + 12 = 7x ( subtract 7x from both sides )

x² - 7x + 12 = 0 ← in standard form

(x - 3)(x - 4) = 0 ← in factored form

Equate each factor to zero ( zero product property ) and solve for x

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4