Answered

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.

x = –3 or x = –2

x = –3 or x = 2

x = –2 or x = 3

x = 2 or x = 3

Verified Answer :

georgiatrn

x² - x -6 = 0
Δ = b² -4ac = (-1)² -4·1·(-6) = 1 + 24 = 25
x₁= (-b + √Δ)/(2a) = (1 + √25)/2·1 = (1+5)/2 = 6/2 = 3
x₂= (-b - √Δ)/(2a) = (1 - √25)/2·1 = (1-5)/2 = -4/2 = -2

x=3 or x=-2

calculista

we know that

The Zero Product Property states that if \(a*b = 0\) , then either \(a = 0\) or \(b = 0\) (or both)

we have

\(x^{2} -x-6=0\)

rewrite the expression

\(x^{2} -x-6=(x+3)(x-2)\)

so

\((x+3)(x-2)=0\)

\((x+3)=0\\x=-3\)

\((x-2)=0\\x=2\)

therefore

the answer is the option

x = –3 or x = 2




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