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denis23 [38]
3 years ago
7

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

Mathematics
2 answers:
inysia [295]3 years ago
5 0
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= <span>(-b - √Δ)/(2a) = (1 - √25)/2·1 = (1-5)/2 = -4/2 = -2

x=3 or x=-2</span>
Ahat [919]3 years ago
3 0

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

<u>the answer is the option</u>

x = –3 or x = 2




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