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anastassius [24]
3 years ago
12

Factor & Finding Zeros x^{2} -x-6=0

Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0

Answer:

x = 3, -2

Step-by-step explanation:

To help us factor, we can split the middle term up into the sum of the terms -3x and 2x:

x^2+(-3x)+2x-6=0

From there, we can factor out an x from the first two term and a 2 from the last two to obtain the equation

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

Factoring out an (x - 3) from each term gives us the equation

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

At this point, we can divide by either x - 3 or x + 2 to obtain the two equations

x-3=0 and x+2=0

Solving both for x gives us the solutions x = 3 and x = -2. We can verify these by substituting them back into the original equation:

3^2-3-6=0\\9-3-6=0\\6-6=0\\0=0

(-2)^2-(-2)-6 = 0\\4+2-6=0\\6-6=0\\0=0

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